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Finding the Fourth Proportional to 2,497.74, 3,746.97 and 766.50

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Solution

The fourth proportional to 2,497.74, 3,746.97 and 766.50 is: 1,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.74 : 3,746.97 = 766.50 : x
  2. Step 2: Convert to fraction form
    2,497.74/3,746.97 = 766.50/x
  3. Step 3: Cross multiply
    2,497.74x = 3,746.97 × 766.50
  4. Step 4: Simplify right side
    2,497.74x = 2,872,052.51
  5. Step 5: Solve for x
    x = 2,872,052.51/2,497.74
  6. Step 6: Final answer
    x = 1,149.86

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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.