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Finding the Fourth Proportional to 2,822.88, 4,234.32 and 1,526.88

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Solution

The fourth proportional to 2,822.88, 4,234.32 and 1,526.88 is: 2,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.88 : 4,234.32 = 1,526.88 : x
  2. Step 2: Convert to fraction form
    2,822.88/4,234.32 = 1,526.88/x
  3. Step 3: Cross multiply
    2,822.88x = 4,234.32 × 1,526.88
  4. Step 4: Simplify right side
    2,822.88x = 6,465,298.52
  5. Step 5: Solve for x
    x = 6,465,298.52/2,822.88
  6. Step 6: Final answer
    x = 2,290.32

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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.