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Finding the Fourth Proportional to 1,785.13, 2,677.70 and 1,053.70

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Solution

The fourth proportional to 1,785.13, 2,677.70 and 1,053.70 is: 1,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.13 : 2,677.70 = 1,053.70 : x
  2. Step 2: Convert to fraction form
    1,785.13/2,677.70 = 1,053.70/x
  3. Step 3: Cross multiply
    1,785.13x = 2,677.70 × 1,053.70
  4. Step 4: Simplify right side
    1,785.13x = 2,821,492.49
  5. Step 5: Solve for x
    x = 2,821,492.49/1,785.13
  6. Step 6: Final answer
    x = 1,580.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.