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Finding the Fourth Proportional to 1,478.71, 2,040.51 and 815.41

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Solution

The fourth proportional to 1,478.71, 2,040.51 and 815.41 is: 1,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.71 : 2,040.51 = 815.41 : x
  2. Step 2: Convert to fraction form
    1,478.71/2,040.51 = 815.41/x
  3. Step 3: Cross multiply
    1,478.71x = 2,040.51 × 815.41
  4. Step 4: Simplify right side
    1,478.71x = 1,663,852.26
  5. Step 5: Solve for x
    x = 1,663,852.26/1,478.71
  6. Step 6: Final answer
    x = 1,125.21

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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.