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Finding the Fourth Proportional to 2,452.76, 3,381.90 and 1,862.30

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Solution

The fourth proportional to 2,452.76, 3,381.90 and 1,862.30 is: 2,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.76 : 3,381.90 = 1,862.30 : x
  2. Step 2: Convert to fraction form
    2,452.76/3,381.90 = 1,862.30/x
  3. Step 3: Cross multiply
    2,452.76x = 3,381.90 × 1,862.30
  4. Step 4: Simplify right side
    2,452.76x = 6,298,112.37
  5. Step 5: Solve for x
    x = 6,298,112.37/2,452.76
  6. Step 6: Final answer
    x = 2,567.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.