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Finding the Fourth Proportional to 1,462.57, 2,017.60 and 990.48

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Solution

The fourth proportional to 1,462.57, 2,017.60 and 990.48 is: 1,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.57 : 2,017.60 = 990.48 : x
  2. Step 2: Convert to fraction form
    1,462.57/2,017.60 = 990.48/x
  3. Step 3: Cross multiply
    1,462.57x = 2,017.60 × 990.48
  4. Step 4: Simplify right side
    1,462.57x = 1,998,392.45
  5. Step 5: Solve for x
    x = 1,998,392.45/1,462.57
  6. Step 6: Final answer
    x = 1,366.36

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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.