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Finding the Fourth Proportional to 2,959.65, 4,442.22 and 2,134.08

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Solution

The fourth proportional to 2,959.65, 4,442.22 and 2,134.08 is: 3,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.65 : 4,442.22 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    2,959.65/4,442.22 = 2,134.08/x
  3. Step 3: Cross multiply
    2,959.65x = 4,442.22 × 2,134.08
  4. Step 4: Simplify right side
    2,959.65x = 9,480,052.86
  5. Step 5: Solve for x
    x = 9,480,052.86/2,959.65
  6. Step 6: Final answer
    x = 3,203.10

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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.