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Finding the Fourth Proportional to 2,497.72, 3,461.43 and 2,462.48

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Solution

The fourth proportional to 2,497.72, 3,461.43 and 2,462.48 is: 3,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.72 : 3,461.43 = 2,462.48 : x
  2. Step 2: Convert to fraction form
    2,497.72/3,461.43 = 2,462.48/x
  3. Step 3: Cross multiply
    2,497.72x = 3,461.43 × 2,462.48
  4. Step 4: Simplify right side
    2,497.72x = 8,523,712.67
  5. Step 5: Solve for x
    x = 8,523,712.67/2,497.72
  6. Step 6: Final answer
    x = 3,412.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.