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Finding the Fourth Proportional to 2,494.53, 3,442.61 and 1,432.63

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Solution

The fourth proportional to 2,494.53, 3,442.61 and 1,432.63 is: 1,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.53 : 3,442.61 = 1,432.63 : x
  2. Step 2: Convert to fraction form
    2,494.53/3,442.61 = 1,432.63/x
  3. Step 3: Cross multiply
    2,494.53x = 3,442.61 × 1,432.63
  4. Step 4: Simplify right side
    2,494.53x = 4,931,986.19
  5. Step 5: Solve for x
    x = 4,931,986.19/2,494.53
  6. Step 6: Final answer
    x = 1,977.12

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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.