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Finding the Fourth Proportional to 2,948.47, 4,421.59 and 867.78

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Solution

The fourth proportional to 2,948.47, 4,421.59 and 867.78 is: 1,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.47 : 4,421.59 = 867.78 : x
  2. Step 2: Convert to fraction form
    2,948.47/4,421.59 = 867.78/x
  3. Step 3: Cross multiply
    2,948.47x = 4,421.59 × 867.78
  4. Step 4: Simplify right side
    2,948.47x = 3,836,965.20
  5. Step 5: Solve for x
    x = 3,836,965.20/2,948.47
  6. Step 6: Final answer
    x = 1,301.34

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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.