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Finding the Fourth Proportional to 2,497.62, 3,746.43 and 1,016.87

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Solution

The fourth proportional to 2,497.62, 3,746.43 and 1,016.87 is: 1,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.62 : 3,746.43 = 1,016.87 : x
  2. Step 2: Convert to fraction form
    2,497.62/3,746.43 = 1,016.87/x
  3. Step 3: Cross multiply
    2,497.62x = 3,746.43 × 1,016.87
  4. Step 4: Simplify right side
    2,497.62x = 3,809,613.54
  5. Step 5: Solve for x
    x = 3,809,613.54/2,497.62
  6. Step 6: Final answer
    x = 1,525.30

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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.