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Finding the Fourth Proportional to 2,497.80, 3,746.40 and 854.04

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Solution

The fourth proportional to 2,497.80, 3,746.40 and 854.04 is: 1,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.80 : 3,746.40 = 854.04 : x
  2. Step 2: Convert to fraction form
    2,497.80/3,746.40 = 854.04/x
  3. Step 3: Cross multiply
    2,497.80x = 3,746.40 × 854.04
  4. Step 4: Simplify right side
    2,497.80x = 3,199,575.46
  5. Step 5: Solve for x
    x = 3,199,575.46/2,497.80
  6. Step 6: Final answer
    x = 1,280.96

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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.