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Finding the Fourth Proportional to 1,717.90, 2,577.28 and 937.68

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Solution

The fourth proportional to 1,717.90, 2,577.28 and 937.68 is: 1,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.90 : 2,577.28 = 937.68 : x
  2. Step 2: Convert to fraction form
    1,717.90/2,577.28 = 937.68/x
  3. Step 3: Cross multiply
    1,717.90x = 2,577.28 × 937.68
  4. Step 4: Simplify right side
    1,717.90x = 2,416,663.91
  5. Step 5: Solve for x
    x = 2,416,663.91/1,717.90
  6. Step 6: Final answer
    x = 1,406.75

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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.