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Finding the Fourth Proportional to 2,497.53, 3,746.70 and 765.75

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Solution

The fourth proportional to 2,497.53, 3,746.70 and 765.75 is: 1,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.53 : 3,746.70 = 765.75 : x
  2. Step 2: Convert to fraction form
    2,497.53/3,746.70 = 765.75/x
  3. Step 3: Cross multiply
    2,497.53x = 3,746.70 × 765.75
  4. Step 4: Simplify right side
    2,497.53x = 2,869,035.53
  5. Step 5: Solve for x
    x = 2,869,035.53/2,497.53
  6. Step 6: Final answer
    x = 1,148.75

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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.