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Finding the Fourth Proportional to 1,560.66, 2,337.54 and 1,011.18

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Solution

The fourth proportional to 1,560.66, 2,337.54 and 1,011.18 is: 1,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.66 : 2,337.54 = 1,011.18 : x
  2. Step 2: Convert to fraction form
    1,560.66/2,337.54 = 1,011.18/x
  3. Step 3: Cross multiply
    1,560.66x = 2,337.54 × 1,011.18
  4. Step 4: Simplify right side
    1,560.66x = 2,363,673.70
  5. Step 5: Solve for x
    x = 2,363,673.70/1,560.66
  6. Step 6: Final answer
    x = 1,514.53

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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.