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Finding the Fourth Proportional to 1,589.76, 2,193.84 and 917.68

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Solution

The fourth proportional to 1,589.76, 2,193.84 and 917.68 is: 1,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.76 : 2,193.84 = 917.68 : x
  2. Step 2: Convert to fraction form
    1,589.76/2,193.84 = 917.68/x
  3. Step 3: Cross multiply
    1,589.76x = 2,193.84 × 917.68
  4. Step 4: Simplify right side
    1,589.76x = 2,013,243.09
  5. Step 5: Solve for x
    x = 2,013,243.09/1,589.76
  6. Step 6: Final answer
    x = 1,266.38

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1.5x scale

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.