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Finding the Fourth Proportional to 1,342.51, 2,012.03 and 1,082.63

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Solution

The fourth proportional to 1,342.51, 2,012.03 and 1,082.63 is: 1,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.51 : 2,012.03 = 1,082.63 : x
  2. Step 2: Convert to fraction form
    1,342.51/2,012.03 = 1,082.63/x
  3. Step 3: Cross multiply
    1,342.51x = 2,012.03 × 1,082.63
  4. Step 4: Simplify right side
    1,342.51x = 2,178,284.04
  5. Step 5: Solve for x
    x = 2,178,284.04/1,342.51
  6. Step 6: Final answer
    x = 1,622.55

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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.