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Finding the Fourth Proportional to 1,761.60, 2,643.96 and 1,110.24

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Solution

The fourth proportional to 1,761.60, 2,643.96 and 1,110.24 is: 1,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.60 : 2,643.96 = 1,110.24 : x
  2. Step 2: Convert to fraction form
    1,761.60/2,643.96 = 1,110.24/x
  3. Step 3: Cross multiply
    1,761.60x = 2,643.96 × 1,110.24
  4. Step 4: Simplify right side
    1,761.60x = 2,935,430.15
  5. Step 5: Solve for x
    x = 2,935,430.15/1,761.60
  6. Step 6: Final answer
    x = 1,666.34

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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.