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Finding the Fourth Proportional to 2,483.92, 3,428.48 and 1,422.20

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Solution

The fourth proportional to 2,483.92, 3,428.48 and 1,422.20 is: 1,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.92 : 3,428.48 = 1,422.20 : x
  2. Step 2: Convert to fraction form
    2,483.92/3,428.48 = 1,422.20/x
  3. Step 3: Cross multiply
    2,483.92x = 3,428.48 × 1,422.20
  4. Step 4: Simplify right side
    2,483.92x = 4,875,984.26
  5. Step 5: Solve for x
    x = 4,875,984.26/2,483.92
  6. Step 6: Final answer
    x = 1,963.02

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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.