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Finding the Fourth Proportional to 1,742.90, 2,614.08 and 647.02

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Solution

The fourth proportional to 1,742.90, 2,614.08 and 647.02 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.90 : 2,614.08 = 647.02 : x
  2. Step 2: Convert to fraction form
    1,742.90/2,614.08 = 647.02/x
  3. Step 3: Cross multiply
    1,742.90x = 2,614.08 × 647.02
  4. Step 4: Simplify right side
    1,742.90x = 1,691,362.04
  5. Step 5: Solve for x
    x = 1,691,362.04/1,742.90
  6. Step 6: Final answer
    x = 970.43

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