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Finding the Fourth Proportional to 2,041.33, 3,060.14 and 741.88

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Solution

The fourth proportional to 2,041.33, 3,060.14 and 741.88 is: 1,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.33 : 3,060.14 = 741.88 : x
  2. Step 2: Convert to fraction form
    2,041.33/3,060.14 = 741.88/x
  3. Step 3: Cross multiply
    2,041.33x = 3,060.14 × 741.88
  4. Step 4: Simplify right side
    2,041.33x = 2,270,237.65
  5. Step 5: Solve for x
    x = 2,270,237.65/2,041.33
  6. Step 6: Final answer
    x = 1,112.14

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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.