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Finding the Fourth Proportional to 3,024.64, 4,547.04 and 2,480.86

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Solution

The fourth proportional to 3,024.64, 4,547.04 and 2,480.86 is: 3,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.64 : 4,547.04 = 2,480.86 : x
  2. Step 2: Convert to fraction form
    3,024.64/4,547.04 = 2,480.86/x
  3. Step 3: Cross multiply
    3,024.64x = 4,547.04 × 2,480.86
  4. Step 4: Simplify right side
    3,024.64x = 11,280,569.65
  5. Step 5: Solve for x
    x = 11,280,569.65/3,024.64
  6. Step 6: Final answer
    x = 3,729.56

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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.