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Finding the Fourth Proportional to 2,264.78, 3,125.52 and 1,478.80

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Solution

The fourth proportional to 2,264.78, 3,125.52 and 1,478.80 is: 2,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.78 : 3,125.52 = 1,478.80 : x
  2. Step 2: Convert to fraction form
    2,264.78/3,125.52 = 1,478.80/x
  3. Step 3: Cross multiply
    2,264.78x = 3,125.52 × 1,478.80
  4. Step 4: Simplify right side
    2,264.78x = 4,622,018.98
  5. Step 5: Solve for x
    x = 4,622,018.98/2,264.78
  6. Step 6: Final answer
    x = 2,040.82

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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.