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Finding the Fourth Proportional to 2,148.64, 2,965.08 and 1,217.08

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Solution

The fourth proportional to 2,148.64, 2,965.08 and 1,217.08 is: 1,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.64 : 2,965.08 = 1,217.08 : x
  2. Step 2: Convert to fraction form
    2,148.64/2,965.08 = 1,217.08/x
  3. Step 3: Cross multiply
    2,148.64x = 2,965.08 × 1,217.08
  4. Step 4: Simplify right side
    2,148.64x = 3,608,739.57
  5. Step 5: Solve for x
    x = 3,608,739.57/2,148.64
  6. Step 6: Final answer
    x = 1,679.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.