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Finding the Fourth Proportional to 1,594.53, 2,200.14 and 956.43

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Solution

The fourth proportional to 1,594.53, 2,200.14 and 956.43 is: 1,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.53 : 2,200.14 = 956.43 : x
  2. Step 2: Convert to fraction form
    1,594.53/2,200.14 = 956.43/x
  3. Step 3: Cross multiply
    1,594.53x = 2,200.14 × 956.43
  4. Step 4: Simplify right side
    1,594.53x = 2,104,279.90
  5. Step 5: Solve for x
    x = 2,104,279.90/1,594.53
  6. Step 6: Final answer
    x = 1,319.69

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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.