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Finding the Fourth Proportional to 2,959.74, 4,435.16 and 2,340.90

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Solution

The fourth proportional to 2,959.74, 4,435.16 and 2,340.90 is: 3,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.74 : 4,435.16 = 2,340.90 : x
  2. Step 2: Convert to fraction form
    2,959.74/4,435.16 = 2,340.90/x
  3. Step 3: Cross multiply
    2,959.74x = 4,435.16 × 2,340.90
  4. Step 4: Simplify right side
    2,959.74x = 10,382,254.34
  5. Step 5: Solve for x
    x = 10,382,254.34/2,959.74
  6. Step 6: Final answer
    x = 3,507.83

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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.