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Finding the Fourth Proportional to 2,497.28, 3,746.12 and 854.19

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Solution

The fourth proportional to 2,497.28, 3,746.12 and 854.19 is: 1,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.28 : 3,746.12 = 854.19 : x
  2. Step 2: Convert to fraction form
    2,497.28/3,746.12 = 854.19/x
  3. Step 3: Cross multiply
    2,497.28x = 3,746.12 × 854.19
  4. Step 4: Simplify right side
    2,497.28x = 3,199,893.97
  5. Step 5: Solve for x
    x = 3,199,893.97/2,497.28
  6. Step 6: Final answer
    x = 1,281.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.