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Finding the Fourth Proportional to 1,466, 2,022.34 and 876.48

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Solution

The fourth proportional to 1,466, 2,022.34 and 876.48 is: 1,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 2,022.34 = 876.48 : x
  2. Step 2: Convert to fraction form
    1,466/2,022.34 = 876.48/x
  3. Step 3: Cross multiply
    1,466x = 2,022.34 × 876.48
  4. Step 4: Simplify right side
    1,466x = 1,772,540.56
  5. Step 5: Solve for x
    x = 1,772,540.56/1,466
  6. Step 6: Final answer
    x = 1,209.10

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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.