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Finding the Fourth Proportional to 2,932.05, 4,397.93 and 740.65

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Solution

The fourth proportional to 2,932.05, 4,397.93 and 740.65 is: 1,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.05 : 4,397.93 = 740.65 : x
  2. Step 2: Convert to fraction form
    2,932.05/4,397.93 = 740.65/x
  3. Step 3: Cross multiply
    2,932.05x = 4,397.93 × 740.65
  4. Step 4: Simplify right side
    2,932.05x = 3,257,326.85
  5. Step 5: Solve for x
    x = 3,257,326.85/2,932.05
  6. Step 6: Final answer
    x = 1,110.94

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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.