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Finding the Fourth Proportional to 1,595.34, 2,202.66 and 1,221.66

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Solution

The fourth proportional to 1,595.34, 2,202.66 and 1,221.66 is: 1,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.34 : 2,202.66 = 1,221.66 : x
  2. Step 2: Convert to fraction form
    1,595.34/2,202.66 = 1,221.66/x
  3. Step 3: Cross multiply
    1,595.34x = 2,202.66 × 1,221.66
  4. Step 4: Simplify right side
    1,595.34x = 2,690,901.62
  5. Step 5: Solve for x
    x = 2,690,901.62/1,595.34
  6. Step 6: Final answer
    x = 1,686.73

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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.