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Finding the Fourth Proportional to 2,264.76, 3,125.28 and 1,256.40

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Solution

The fourth proportional to 2,264.76, 3,125.28 and 1,256.40 is: 1,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.76 : 3,125.28 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    2,264.76/3,125.28 = 1,256.40/x
  3. Step 3: Cross multiply
    2,264.76x = 3,125.28 × 1,256.40
  4. Step 4: Simplify right side
    2,264.76x = 3,926,601.79
  5. Step 5: Solve for x
    x = 3,926,601.79/2,264.76
  6. Step 6: Final answer
    x = 1,733.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.