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Finding the Fourth Proportional to 1,264.68, 1,886.26 and 1,242.80

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Solution

The fourth proportional to 1,264.68, 1,886.26 and 1,242.80 is: 1,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.68 : 1,886.26 = 1,242.80 : x
  2. Step 2: Convert to fraction form
    1,264.68/1,886.26 = 1,242.80/x
  3. Step 3: Cross multiply
    1,264.68x = 1,886.26 × 1,242.80
  4. Step 4: Simplify right side
    1,264.68x = 2,344,243.93
  5. Step 5: Solve for x
    x = 2,344,243.93/1,264.68
  6. Step 6: Final answer
    x = 1,853.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.