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Finding the Fourth Proportional to 2,497.74, 3,748.90 and 1,266.02

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Solution

The fourth proportional to 2,497.74, 3,748.90 and 1,266.02 is: 1,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.74 : 3,748.90 = 1,266.02 : x
  2. Step 2: Convert to fraction form
    2,497.74/3,748.90 = 1,266.02/x
  3. Step 3: Cross multiply
    2,497.74x = 3,748.90 × 1,266.02
  4. Step 4: Simplify right side
    2,497.74x = 4,746,182.38
  5. Step 5: Solve for x
    x = 4,746,182.38/2,497.74
  6. Step 6: Final answer
    x = 1,900.19

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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.