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Finding the Fourth Proportional to 1,932.17, 2,666.88 and 1,234.76

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Solution

The fourth proportional to 1,932.17, 2,666.88 and 1,234.76 is: 1,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.17 : 2,666.88 = 1,234.76 : x
  2. Step 2: Convert to fraction form
    1,932.17/2,666.88 = 1,234.76/x
  3. Step 3: Cross multiply
    1,932.17x = 2,666.88 × 1,234.76
  4. Step 4: Simplify right side
    1,932.17x = 3,292,943.41
  5. Step 5: Solve for x
    x = 3,292,943.41/1,932.17
  6. Step 6: Final answer
    x = 1,704.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.