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Finding the Fourth Proportional to 1,577.59, 2,362.74 and 1,522.92

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Solution

The fourth proportional to 1,577.59, 2,362.74 and 1,522.92 is: 2,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.59 : 2,362.74 = 1,522.92 : x
  2. Step 2: Convert to fraction form
    1,577.59/2,362.74 = 1,522.92/x
  3. Step 3: Cross multiply
    1,577.59x = 2,362.74 × 1,522.92
  4. Step 4: Simplify right side
    1,577.59x = 3,598,255.14
  5. Step 5: Solve for x
    x = 3,598,255.14/1,577.59
  6. Step 6: Final answer
    x = 2,280.85

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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.