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Finding the Fourth Proportional to 2,640.65, 3,961.80 and 1,547.15

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Solution

The fourth proportional to 2,640.65, 3,961.80 and 1,547.15 is: 2,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.65 : 3,961.80 = 1,547.15 : x
  2. Step 2: Convert to fraction form
    2,640.65/3,961.80 = 1,547.15/x
  3. Step 3: Cross multiply
    2,640.65x = 3,961.80 × 1,547.15
  4. Step 4: Simplify right side
    2,640.65x = 6,129,479.06
  5. Step 5: Solve for x
    x = 6,129,479.06/2,640.65
  6. Step 6: Final answer
    x = 2,321.21

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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.