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Finding the Fourth Proportional to 2,480.48, 3,719.76 and 920.24

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Solution

The fourth proportional to 2,480.48, 3,719.76 and 920.24 is: 1,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.48 : 3,719.76 = 920.24 : x
  2. Step 2: Convert to fraction form
    2,480.48/3,719.76 = 920.24/x
  3. Step 3: Cross multiply
    2,480.48x = 3,719.76 × 920.24
  4. Step 4: Simplify right side
    2,480.48x = 3,423,071.94
  5. Step 5: Solve for x
    x = 3,423,071.94/2,480.48
  6. Step 6: Final answer
    x = 1,380.00

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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.