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Finding the Fourth Proportional to 1,708.86, 2,564.73 and 844.14

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Solution

The fourth proportional to 1,708.86, 2,564.73 and 844.14 is: 1,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.86 : 2,564.73 = 844.14 : x
  2. Step 2: Convert to fraction form
    1,708.86/2,564.73 = 844.14/x
  3. Step 3: Cross multiply
    1,708.86x = 2,564.73 × 844.14
  4. Step 4: Simplify right side
    1,708.86x = 2,164,991.18
  5. Step 5: Solve for x
    x = 2,164,991.18/1,708.86
  6. Step 6: Final answer
    x = 1,266.92

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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.