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Finding the Fourth Proportional to 2,963.15, 4,435.07 and 2,182.84

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Solution

The fourth proportional to 2,963.15, 4,435.07 and 2,182.84 is: 3,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.15 : 4,435.07 = 2,182.84 : x
  2. Step 2: Convert to fraction form
    2,963.15/4,435.07 = 2,182.84/x
  3. Step 3: Cross multiply
    2,963.15x = 4,435.07 × 2,182.84
  4. Step 4: Simplify right side
    2,963.15x = 9,681,026.20
  5. Step 5: Solve for x
    x = 9,681,026.20/2,963.15
  6. Step 6: Final answer
    x = 3,267.14

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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.