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Finding the Fourth Proportional to 1,729.72, 2,386.71 and 1,642.15

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Solution

The fourth proportional to 1,729.72, 2,386.71 and 1,642.15 is: 2,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.72 : 2,386.71 = 1,642.15 : x
  2. Step 2: Convert to fraction form
    1,729.72/2,386.71 = 1,642.15/x
  3. Step 3: Cross multiply
    1,729.72x = 2,386.71 × 1,642.15
  4. Step 4: Simplify right side
    1,729.72x = 3,919,323.89
  5. Step 5: Solve for x
    x = 3,919,323.89/1,729.72
  6. Step 6: Final answer
    x = 2,265.88

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