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Finding the Fourth Proportional to 1,656, 2,282.40 and 1,481.76

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Solution

The fourth proportional to 1,656, 2,282.40 and 1,481.76 is: 2,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656 : 2,282.40 = 1,481.76 : x
  2. Step 2: Convert to fraction form
    1,656/2,282.40 = 1,481.76/x
  3. Step 3: Cross multiply
    1,656x = 2,282.40 × 1,481.76
  4. Step 4: Simplify right side
    1,656x = 3,381,969.02
  5. Step 5: Solve for x
    x = 3,381,969.02/1,656
  6. Step 6: Final answer
    x = 2,042.25

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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.