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Finding the Fourth Proportional to 1,536.67, 2,304.46 and 879.49

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Solution

The fourth proportional to 1,536.67, 2,304.46 and 879.49 is: 1,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.67 : 2,304.46 = 879.49 : x
  2. Step 2: Convert to fraction form
    1,536.67/2,304.46 = 879.49/x
  3. Step 3: Cross multiply
    1,536.67x = 2,304.46 × 879.49
  4. Step 4: Simplify right side
    1,536.67x = 2,026,749.53
  5. Step 5: Solve for x
    x = 2,026,749.53/1,536.67
  6. Step 6: Final answer
    x = 1,318.92

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1.5x scale

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.