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Finding the Fourth Proportional to 2,671.67, 4,007.56 and 723.89

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Solution

The fourth proportional to 2,671.67, 4,007.56 and 723.89 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.67 : 4,007.56 = 723.89 : x
  2. Step 2: Convert to fraction form
    2,671.67/4,007.56 = 723.89/x
  3. Step 3: Cross multiply
    2,671.67x = 4,007.56 × 723.89
  4. Step 4: Simplify right side
    2,671.67x = 2,901,032.61
  5. Step 5: Solve for x
    x = 2,901,032.61/2,671.67
  6. Step 6: Final answer
    x = 1,085.85

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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.