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Finding the Fourth Proportional to 1,508,799.52, 2,082,101.71 and 829,736.02

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Solution

The fourth proportional to 1,508,799.52, 2,082,101.71 and 829,736.02 is: 1,145,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,799.52 : 2,082,101.71 = 829,736.02 : x
  2. Step 2: Convert to fraction form
    1,508,799.52/2,082,101.71 = 829,736.02/x
  3. Step 3: Cross multiply
    1,508,799.52x = 2,082,101.71 × 829,736.02
  4. Step 4: Simplify right side
    1,508,799.52x = 1,727,594,786,090.59
  5. Step 5: Solve for x
    x = 1,727,594,786,090.59/1,508,799.52
  6. Step 6: Final answer
    x = 1,145,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.