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Finding the Fourth Proportional to 1,674.68, 2,311.26 and 975.92

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Solution

The fourth proportional to 1,674.68, 2,311.26 and 975.92 is: 1,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.68 : 2,311.26 = 975.92 : x
  2. Step 2: Convert to fraction form
    1,674.68/2,311.26 = 975.92/x
  3. Step 3: Cross multiply
    1,674.68x = 2,311.26 × 975.92
  4. Step 4: Simplify right side
    1,674.68x = 2,255,604.86
  5. Step 5: Solve for x
    x = 2,255,604.86/1,674.68
  6. Step 6: Final answer
    x = 1,346.89

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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.