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Finding the Fourth Proportional to 2,063.84, 2,847.96 and 1,132.40

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Solution

The fourth proportional to 2,063.84, 2,847.96 and 1,132.40 is: 1,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.84 : 2,847.96 = 1,132.40 : x
  2. Step 2: Convert to fraction form
    2,063.84/2,847.96 = 1,132.40/x
  3. Step 3: Cross multiply
    2,063.84x = 2,847.96 × 1,132.40
  4. Step 4: Simplify right side
    2,063.84x = 3,225,029.90
  5. Step 5: Solve for x
    x = 3,225,029.90/2,063.84
  6. Step 6: Final answer
    x = 1,562.64

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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.