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Finding the Fourth Proportional to 1,648.68, 2,473.42 and 1,162.68

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Solution

The fourth proportional to 1,648.68, 2,473.42 and 1,162.68 is: 1,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.68 : 2,473.42 = 1,162.68 : x
  2. Step 2: Convert to fraction form
    1,648.68/2,473.42 = 1,162.68/x
  3. Step 3: Cross multiply
    1,648.68x = 2,473.42 × 1,162.68
  4. Step 4: Simplify right side
    1,648.68x = 2,875,795.97
  5. Step 5: Solve for x
    x = 2,875,795.97/1,648.68
  6. Step 6: Final answer
    x = 1,744.30

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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.