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Finding the Fourth Proportional to 2,882.48, 4,323.19 and 1,008.64

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Solution

The fourth proportional to 2,882.48, 4,323.19 and 1,008.64 is: 1,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.48 : 4,323.19 = 1,008.64 : x
  2. Step 2: Convert to fraction form
    2,882.48/4,323.19 = 1,008.64/x
  3. Step 3: Cross multiply
    2,882.48x = 4,323.19 × 1,008.64
  4. Step 4: Simplify right side
    2,882.48x = 4,360,547.14
  5. Step 5: Solve for x
    x = 4,360,547.14/2,882.48
  6. Step 6: Final answer
    x = 1,512.78

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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.