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Finding the Fourth Proportional to 2,959.68, 4,442.40 and 2,822.88

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Solution

The fourth proportional to 2,959.68, 4,442.40 and 2,822.88 is: 4,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.68 : 4,442.40 = 2,822.88 : x
  2. Step 2: Convert to fraction form
    2,959.68/4,442.40 = 2,822.88/x
  3. Step 3: Cross multiply
    2,959.68x = 4,442.40 × 2,822.88
  4. Step 4: Simplify right side
    2,959.68x = 12,540,362.11
  5. Step 5: Solve for x
    x = 12,540,362.11/2,959.68
  6. Step 6: Final answer
    x = 4,237.07

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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.