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Finding the Fourth Proportional to 2,264.71, 3,125.63 and 1,270.09

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Solution

The fourth proportional to 2,264.71, 3,125.63 and 1,270.09 is: 1,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.71 : 3,125.63 = 1,270.09 : x
  2. Step 2: Convert to fraction form
    2,264.71/3,125.63 = 1,270.09/x
  3. Step 3: Cross multiply
    2,264.71x = 3,125.63 × 1,270.09
  4. Step 4: Simplify right side
    2,264.71x = 3,969,831.41
  5. Step 5: Solve for x
    x = 3,969,831.41/2,264.71
  6. Step 6: Final answer
    x = 1,752.91

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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.