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Finding the Fourth Proportional to 2,417.34, 3,626.67 and 685.97

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Solution

The fourth proportional to 2,417.34, 3,626.67 and 685.97 is: 1,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.34 : 3,626.67 = 685.97 : x
  2. Step 2: Convert to fraction form
    2,417.34/3,626.67 = 685.97/x
  3. Step 3: Cross multiply
    2,417.34x = 3,626.67 × 685.97
  4. Step 4: Simplify right side
    2,417.34x = 2,487,784.86
  5. Step 5: Solve for x
    x = 2,487,784.86/2,417.34
  6. Step 6: Final answer
    x = 1,029.14

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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.