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Finding the Fourth Proportional to 2,737.60, 4,084.64 and 2,404.96

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Solution

The fourth proportional to 2,737.60, 4,084.64 and 2,404.96 is: 3,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.60 : 4,084.64 = 2,404.96 : x
  2. Step 2: Convert to fraction form
    2,737.60/4,084.64 = 2,404.96/x
  3. Step 3: Cross multiply
    2,737.60x = 4,084.64 × 2,404.96
  4. Step 4: Simplify right side
    2,737.60x = 9,823,395.81
  5. Step 5: Solve for x
    x = 9,823,395.81/2,737.60
  6. Step 6: Final answer
    x = 3,588.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.