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Finding the Fourth Proportional to 2,378.92, 3,275.58 and 2,024.20

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Solution

The fourth proportional to 2,378.92, 3,275.58 and 2,024.20 is: 2,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.92 : 3,275.58 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    2,378.92/3,275.58 = 2,024.20/x
  3. Step 3: Cross multiply
    2,378.92x = 3,275.58 × 2,024.20
  4. Step 4: Simplify right side
    2,378.92x = 6,630,429.04
  5. Step 5: Solve for x
    x = 6,630,429.04/2,378.92
  6. Step 6: Final answer
    x = 2,787.16

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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.