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Finding the Fourth Proportional to 2,041.07, 3,062.07 and 742.50

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Solution

The fourth proportional to 2,041.07, 3,062.07 and 742.50 is: 1,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.07 : 3,062.07 = 742.50 : x
  2. Step 2: Convert to fraction form
    2,041.07/3,062.07 = 742.50/x
  3. Step 3: Cross multiply
    2,041.07x = 3,062.07 × 742.50
  4. Step 4: Simplify right side
    2,041.07x = 2,273,586.98
  5. Step 5: Solve for x
    x = 2,273,586.98/2,041.07
  6. Step 6: Final answer
    x = 1,113.92

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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.