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Finding the Fourth Proportional to 1,641.33, 2,462.49 and 947.84

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Solution

The fourth proportional to 1,641.33, 2,462.49 and 947.84 is: 1,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.33 : 2,462.49 = 947.84 : x
  2. Step 2: Convert to fraction form
    1,641.33/2,462.49 = 947.84/x
  3. Step 3: Cross multiply
    1,641.33x = 2,462.49 × 947.84
  4. Step 4: Simplify right side
    1,641.33x = 2,334,034.21
  5. Step 5: Solve for x
    x = 2,334,034.21/1,641.33
  6. Step 6: Final answer
    x = 1,422.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.