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Finding the Fourth Proportional to 1,654.80, 2,284.11 and 1,065.54

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Solution

The fourth proportional to 1,654.80, 2,284.11 and 1,065.54 is: 1,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.80 : 2,284.11 = 1,065.54 : x
  2. Step 2: Convert to fraction form
    1,654.80/2,284.11 = 1,065.54/x
  3. Step 3: Cross multiply
    1,654.80x = 2,284.11 × 1,065.54
  4. Step 4: Simplify right side
    1,654.80x = 2,433,810.57
  5. Step 5: Solve for x
    x = 2,433,810.57/1,654.80
  6. Step 6: Final answer
    x = 1,470.76

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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.