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Finding the Fourth Proportional to 2,454.38, 3,681.88 and 723.01

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Solution

The fourth proportional to 2,454.38, 3,681.88 and 723.01 is: 1,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.38 : 3,681.88 = 723.01 : x
  2. Step 2: Convert to fraction form
    2,454.38/3,681.88 = 723.01/x
  3. Step 3: Cross multiply
    2,454.38x = 3,681.88 × 723.01
  4. Step 4: Simplify right side
    2,454.38x = 2,662,036.06
  5. Step 5: Solve for x
    x = 2,662,036.06/2,454.38
  6. Step 6: Final answer
    x = 1,084.61

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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.