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Finding the Fourth Proportional to 1,743.40, 2,615.10 and 647.96

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Solution

The fourth proportional to 1,743.40, 2,615.10 and 647.96 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.40 : 2,615.10 = 647.96 : x
  2. Step 2: Convert to fraction form
    1,743.40/2,615.10 = 647.96/x
  3. Step 3: Cross multiply
    1,743.40x = 2,615.10 × 647.96
  4. Step 4: Simplify right side
    1,743.40x = 1,694,480.20
  5. Step 5: Solve for x
    x = 1,694,480.20/1,743.40
  6. Step 6: Final answer
    x = 971.94

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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.