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Finding the Fourth Proportional to 1,836.18, 2,752.14 and 739.83

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Solution

The fourth proportional to 1,836.18, 2,752.14 and 739.83 is: 1,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.18 : 2,752.14 = 739.83 : x
  2. Step 2: Convert to fraction form
    1,836.18/2,752.14 = 739.83/x
  3. Step 3: Cross multiply
    1,836.18x = 2,752.14 × 739.83
  4. Step 4: Simplify right side
    1,836.18x = 2,036,115.74
  5. Step 5: Solve for x
    x = 2,036,115.74/1,836.18
  6. Step 6: Final answer
    x = 1,108.89

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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.