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Finding the Fourth Proportional to 2,497.64, 3,748.14 and 1,036.78

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Solution

The fourth proportional to 2,497.64, 3,748.14 and 1,036.78 is: 1,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.64 : 3,748.14 = 1,036.78 : x
  2. Step 2: Convert to fraction form
    2,497.64/3,748.14 = 1,036.78/x
  3. Step 3: Cross multiply
    2,497.64x = 3,748.14 × 1,036.78
  4. Step 4: Simplify right side
    2,497.64x = 3,885,987.22
  5. Step 5: Solve for x
    x = 3,885,987.22/2,497.64
  6. Step 6: Final answer
    x = 1,555.87

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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.