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Finding the Fourth Proportional to 1,708.24, 2,561.09 and 667.71

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Solution

The fourth proportional to 1,708.24, 2,561.09 and 667.71 is: 1,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.24 : 2,561.09 = 667.71 : x
  2. Step 2: Convert to fraction form
    1,708.24/2,561.09 = 667.71/x
  3. Step 3: Cross multiply
    1,708.24x = 2,561.09 × 667.71
  4. Step 4: Simplify right side
    1,708.24x = 1,710,065.40
  5. Step 5: Solve for x
    x = 1,710,065.40/1,708.24
  6. Step 6: Final answer
    x = 1,001.07

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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.