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Finding the Fourth Proportional to 1,575.17, 2,362.80 and 420.92

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Solution

The fourth proportional to 1,575.17, 2,362.80 and 420.92 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.17 : 2,362.80 = 420.92 : x
  2. Step 2: Convert to fraction form
    1,575.17/2,362.80 = 420.92/x
  3. Step 3: Cross multiply
    1,575.17x = 2,362.80 × 420.92
  4. Step 4: Simplify right side
    1,575.17x = 994,549.78
  5. Step 5: Solve for x
    x = 994,549.78/1,575.17
  6. Step 6: Final answer
    x = 631.39

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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.