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Finding the Fourth Proportional to 2,500.64, 3,748.08 and 1,266.08

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Solution

The fourth proportional to 2,500.64, 3,748.08 and 1,266.08 is: 1,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.64 : 3,748.08 = 1,266.08 : x
  2. Step 2: Convert to fraction form
    2,500.64/3,748.08 = 1,266.08/x
  3. Step 3: Cross multiply
    2,500.64x = 3,748.08 × 1,266.08
  4. Step 4: Simplify right side
    2,500.64x = 4,745,369.13
  5. Step 5: Solve for x
    x = 4,745,369.13/2,500.64
  6. Step 6: Final answer
    x = 1,897.66

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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.