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Finding the Fourth Proportional to 2,237.66, 3,354.96 and 1,066.76

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Solution

The fourth proportional to 2,237.66, 3,354.96 and 1,066.76 is: 1,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.66 : 3,354.96 = 1,066.76 : x
  2. Step 2: Convert to fraction form
    2,237.66/3,354.96 = 1,066.76/x
  3. Step 3: Cross multiply
    2,237.66x = 3,354.96 × 1,066.76
  4. Step 4: Simplify right side
    2,237.66x = 3,578,937.13
  5. Step 5: Solve for x
    x = 3,578,937.13/2,237.66
  6. Step 6: Final answer
    x = 1,599.41

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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.