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Finding the Fourth Proportional to 2,396.48, 3,592.80 and 1,242.56

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Solution

The fourth proportional to 2,396.48, 3,592.80 and 1,242.56 is: 1,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.48 : 3,592.80 = 1,242.56 : x
  2. Step 2: Convert to fraction form
    2,396.48/3,592.80 = 1,242.56/x
  3. Step 3: Cross multiply
    2,396.48x = 3,592.80 × 1,242.56
  4. Step 4: Simplify right side
    2,396.48x = 4,464,269.57
  5. Step 5: Solve for x
    x = 4,464,269.57/2,396.48
  6. Step 6: Final answer
    x = 1,862.84

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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.