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Finding the Fourth Proportional to 2,665.88, 4,000.25 and 1,297.88

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Solution

The fourth proportional to 2,665.88, 4,000.25 and 1,297.88 is: 1,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.88 : 4,000.25 = 1,297.88 : x
  2. Step 2: Convert to fraction form
    2,665.88/4,000.25 = 1,297.88/x
  3. Step 3: Cross multiply
    2,665.88x = 4,000.25 × 1,297.88
  4. Step 4: Simplify right side
    2,665.88x = 5,191,827.71
  5. Step 5: Solve for x
    x = 5,191,827.71/2,665.88
  6. Step 6: Final answer
    x = 1,947.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.