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Finding the Fourth Proportional to 2,468.16, 3,692.52 and 1,598.40

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Solution

The fourth proportional to 2,468.16, 3,692.52 and 1,598.40 is: 2,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.16 : 3,692.52 = 1,598.40 : x
  2. Step 2: Convert to fraction form
    2,468.16/3,692.52 = 1,598.40/x
  3. Step 3: Cross multiply
    2,468.16x = 3,692.52 × 1,598.40
  4. Step 4: Simplify right side
    2,468.16x = 5,902,123.97
  5. Step 5: Solve for x
    x = 5,902,123.97/2,468.16
  6. Step 6: Final answer
    x = 2,391.31

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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.