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Finding the Fourth Proportional to 4,088.64, 6,129.72 and 1,623

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Solution

The fourth proportional to 4,088.64, 6,129.72 and 1,623 is: 2,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.64 : 6,129.72 = 1,623 : x
  2. Step 2: Convert to fraction form
    4,088.64/6,129.72 = 1,623/x
  3. Step 3: Cross multiply
    4,088.64x = 6,129.72 × 1,623
  4. Step 4: Simplify right side
    4,088.64x = 9,948,535.56
  5. Step 5: Solve for x
    x = 9,948,535.56/4,088.64
  6. Step 6: Final answer
    x = 2,433.21

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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.