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Finding the Fourth Proportional to 2,237.52, 3,355.72 and 1,066.80

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Solution

The fourth proportional to 2,237.52, 3,355.72 and 1,066.80 is: 1,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.52 : 3,355.72 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    2,237.52/3,355.72 = 1,066.80/x
  3. Step 3: Cross multiply
    2,237.52x = 3,355.72 × 1,066.80
  4. Step 4: Simplify right side
    2,237.52x = 3,579,882.10
  5. Step 5: Solve for x
    x = 3,579,882.10/2,237.52
  6. Step 6: Final answer
    x = 1,599.93

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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.