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Finding the Fourth Proportional to 2,454.59, 3,681.48 and 722.81

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Solution

The fourth proportional to 2,454.59, 3,681.48 and 722.81 is: 1,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.59 : 3,681.48 = 722.81 : x
  2. Step 2: Convert to fraction form
    2,454.59/3,681.48 = 722.81/x
  3. Step 3: Cross multiply
    2,454.59x = 3,681.48 × 722.81
  4. Step 4: Simplify right side
    2,454.59x = 2,661,019.76
  5. Step 5: Solve for x
    x = 2,661,019.76/2,454.59
  6. Step 6: Final answer
    x = 1,084.10

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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.