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Finding the Fourth Proportional to 2,264.29, 3,124.71 and 1,478.33

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Solution

The fourth proportional to 2,264.29, 3,124.71 and 1,478.33 is: 2,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.29 : 3,124.71 = 1,478.33 : x
  2. Step 2: Convert to fraction form
    2,264.29/3,124.71 = 1,478.33/x
  3. Step 3: Cross multiply
    2,264.29x = 3,124.71 × 1,478.33
  4. Step 4: Simplify right side
    2,264.29x = 4,619,348.63
  5. Step 5: Solve for x
    x = 4,619,348.63/2,264.29
  6. Step 6: Final answer
    x = 2,040.09

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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.