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Finding the Fourth Proportional to 2,346.87, 3,522.52 and 1,471.13

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Solution

The fourth proportional to 2,346.87, 3,522.52 and 1,471.13 is: 2,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.87 : 3,522.52 = 1,471.13 : x
  2. Step 2: Convert to fraction form
    2,346.87/3,522.52 = 1,471.13/x
  3. Step 3: Cross multiply
    2,346.87x = 3,522.52 × 1,471.13
  4. Step 4: Simplify right side
    2,346.87x = 5,182,082.28
  5. Step 5: Solve for x
    x = 5,182,082.28/2,346.87
  6. Step 6: Final answer
    x = 2,208.08

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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.