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Finding the Fourth Proportional to 2,454.02, 3,680.55 and 722.18

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Solution

The fourth proportional to 2,454.02, 3,680.55 and 722.18 is: 1,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.02 : 3,680.55 = 722.18 : x
  2. Step 2: Convert to fraction form
    2,454.02/3,680.55 = 722.18/x
  3. Step 3: Cross multiply
    2,454.02x = 3,680.55 × 722.18
  4. Step 4: Simplify right side
    2,454.02x = 2,658,019.60
  5. Step 5: Solve for x
    x = 2,658,019.60/2,454.02
  6. Step 6: Final answer
    x = 1,083.13

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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.