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Finding the Fourth Proportional to 2,968.68, 4,454.05 and 1,120.32

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Solution

The fourth proportional to 2,968.68, 4,454.05 and 1,120.32 is: 1,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.68 : 4,454.05 = 1,120.32 : x
  2. Step 2: Convert to fraction form
    2,968.68/4,454.05 = 1,120.32/x
  3. Step 3: Cross multiply
    2,968.68x = 4,454.05 × 1,120.32
  4. Step 4: Simplify right side
    2,968.68x = 4,989,966.83
  5. Step 5: Solve for x
    x = 4,989,966.83/2,968.68
  6. Step 6: Final answer
    x = 1,680.87

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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.