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Finding the Fourth Proportional to 2,497.62, 3,746.47 and 766.26

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Solution

The fourth proportional to 2,497.62, 3,746.47 and 766.26 is: 1,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.62 : 3,746.47 = 766.26 : x
  2. Step 2: Convert to fraction form
    2,497.62/3,746.47 = 766.26/x
  3. Step 3: Cross multiply
    2,497.62x = 3,746.47 × 766.26
  4. Step 4: Simplify right side
    2,497.62x = 2,870,770.10
  5. Step 5: Solve for x
    x = 2,870,770.10/2,497.62
  6. Step 6: Final answer
    x = 1,149.40

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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.