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Finding the Fourth Proportional to 2,874.67, 4,311.60 and 1,025.53

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Solution

The fourth proportional to 2,874.67, 4,311.60 and 1,025.53 is: 1,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.67 : 4,311.60 = 1,025.53 : x
  2. Step 2: Convert to fraction form
    2,874.67/4,311.60 = 1,025.53/x
  3. Step 3: Cross multiply
    2,874.67x = 4,311.60 × 1,025.53
  4. Step 4: Simplify right side
    2,874.67x = 4,421,675.15
  5. Step 5: Solve for x
    x = 4,421,675.15/2,874.67
  6. Step 6: Final answer
    x = 1,538.15

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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.