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Finding the Fourth Proportional to 1,742.40, 2,613.36 and 647.28

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Solution

The fourth proportional to 1,742.40, 2,613.36 and 647.28 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.40 : 2,613.36 = 647.28 : x
  2. Step 2: Convert to fraction form
    1,742.40/2,613.36 = 647.28/x
  3. Step 3: Cross multiply
    1,742.40x = 2,613.36 × 647.28
  4. Step 4: Simplify right side
    1,742.40x = 1,691,575.66
  5. Step 5: Solve for x
    x = 1,691,575.66/1,742.40
  6. Step 6: Final answer
    x = 970.83

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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.