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Finding the Fourth Proportional to 1,577.64, 2,366.52 and 423.42

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Solution

The fourth proportional to 1,577.64, 2,366.52 and 423.42 is: 635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.64 : 2,366.52 = 423.42 : x
  2. Step 2: Convert to fraction form
    1,577.64/2,366.52 = 423.42/x
  3. Step 3: Cross multiply
    1,577.64x = 2,366.52 × 423.42
  4. Step 4: Simplify right side
    1,577.64x = 1,002,031.90
  5. Step 5: Solve for x
    x = 1,002,031.90/1,577.64
  6. Step 6: Final answer
    x = 635.15

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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.