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Finding the Fourth Proportional to 2,387.34, 3,578.90 and 1,948.59

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Solution

The fourth proportional to 2,387.34, 3,578.90 and 1,948.59 is: 2,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.34 : 3,578.90 = 1,948.59 : x
  2. Step 2: Convert to fraction form
    2,387.34/3,578.90 = 1,948.59/x
  3. Step 3: Cross multiply
    2,387.34x = 3,578.90 × 1,948.59
  4. Step 4: Simplify right side
    2,387.34x = 6,973,799.01
  5. Step 5: Solve for x
    x = 6,973,799.01/2,387.34
  6. Step 6: Final answer
    x = 2,921.16

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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.