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Finding the Fourth Proportional to 2,834.88, 4,248.64 and 1,372

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Solution

The fourth proportional to 2,834.88, 4,248.64 and 1,372 is: 2,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.88 : 4,248.64 = 1,372 : x
  2. Step 2: Convert to fraction form
    2,834.88/4,248.64 = 1,372/x
  3. Step 3: Cross multiply
    2,834.88x = 4,248.64 × 1,372
  4. Step 4: Simplify right side
    2,834.88x = 5,829,134.08
  5. Step 5: Solve for x
    x = 5,829,134.08/2,834.88
  6. Step 6: Final answer
    x = 2,056.22

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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.