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Finding the Fourth Proportional to 2,478.33, 3,718.15 and 1,091.95

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Solution

The fourth proportional to 2,478.33, 3,718.15 and 1,091.95 is: 1,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.33 : 3,718.15 = 1,091.95 : x
  2. Step 2: Convert to fraction form
    2,478.33/3,718.15 = 1,091.95/x
  3. Step 3: Cross multiply
    2,478.33x = 3,718.15 × 1,091.95
  4. Step 4: Simplify right side
    2,478.33x = 4,060,021.87
  5. Step 5: Solve for x
    x = 4,060,021.87/2,478.33
  6. Step 6: Final answer
    x = 1,638.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.