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Finding the Fourth Proportional to 2,497.55, 3,748.14 and 1,882.98

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Solution

The fourth proportional to 2,497.55, 3,748.14 and 1,882.98 is: 2,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.55 : 3,748.14 = 1,882.98 : x
  2. Step 2: Convert to fraction form
    2,497.55/3,748.14 = 1,882.98/x
  3. Step 3: Cross multiply
    2,497.55x = 3,748.14 × 1,882.98
  4. Step 4: Simplify right side
    2,497.55x = 7,057,672.66
  5. Step 5: Solve for x
    x = 7,057,672.66/2,497.55
  6. Step 6: Final answer
    x = 2,825.84

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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.