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Finding the Fourth Proportional to 2,932.25, 4,397.96 and 740.84

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Solution

The fourth proportional to 2,932.25, 4,397.96 and 740.84 is: 1,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.25 : 4,397.96 = 740.84 : x
  2. Step 2: Convert to fraction form
    2,932.25/4,397.96 = 740.84/x
  3. Step 3: Cross multiply
    2,932.25x = 4,397.96 × 740.84
  4. Step 4: Simplify right side
    2,932.25x = 3,258,189.29
  5. Step 5: Solve for x
    x = 3,258,189.29/2,932.25
  6. Step 6: Final answer
    x = 1,111.16

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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.