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Finding the Fourth Proportional to 1,680, 2,318.61 and 1,017.09

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Solution

The fourth proportional to 1,680, 2,318.61 and 1,017.09 is: 1,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,318.61 = 1,017.09 : x
  2. Step 2: Convert to fraction form
    1,680/2,318.61 = 1,017.09/x
  3. Step 3: Cross multiply
    1,680x = 2,318.61 × 1,017.09
  4. Step 4: Simplify right side
    1,680x = 2,358,235.04
  5. Step 5: Solve for x
    x = 2,358,235.04/1,680
  6. Step 6: Final answer
    x = 1,403.71

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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.