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Finding the Fourth Proportional to 2,358.64, 3,538.20 and 627.44

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Solution

The fourth proportional to 2,358.64, 3,538.20 and 627.44 is: 941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.64 : 3,538.20 = 627.44 : x
  2. Step 2: Convert to fraction form
    2,358.64/3,538.20 = 627.44/x
  3. Step 3: Cross multiply
    2,358.64x = 3,538.20 × 627.44
  4. Step 4: Simplify right side
    2,358.64x = 2,220,008.21
  5. Step 5: Solve for x
    x = 2,220,008.21/2,358.64
  6. Step 6: Final answer
    x = 941.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.