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Finding the Fourth Proportional to 2,494.18, 3,441.45 and 1,432

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Solution

The fourth proportional to 2,494.18, 3,441.45 and 1,432 is: 1,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.18 : 3,441.45 = 1,432 : x
  2. Step 2: Convert to fraction form
    2,494.18/3,441.45 = 1,432/x
  3. Step 3: Cross multiply
    2,494.18x = 3,441.45 × 1,432
  4. Step 4: Simplify right side
    2,494.18x = 4,928,156.40
  5. Step 5: Solve for x
    x = 4,928,156.40/2,494.18
  6. Step 6: Final answer
    x = 1,975.86

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Why These Related Problems?

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