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Finding the Fourth Proportional to 1,729.78, 2,387.16 and 1,030.75

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Solution

The fourth proportional to 1,729.78, 2,387.16 and 1,030.75 is: 1,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.78 : 2,387.16 = 1,030.75 : x
  2. Step 2: Convert to fraction form
    1,729.78/2,387.16 = 1,030.75/x
  3. Step 3: Cross multiply
    1,729.78x = 2,387.16 × 1,030.75
  4. Step 4: Simplify right side
    1,729.78x = 2,460,565.17
  5. Step 5: Solve for x
    x = 2,460,565.17/1,729.78
  6. Step 6: Final answer
    x = 1,422.47

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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.