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Finding the Fourth Proportional to 2,074.78, 3,113.40 and 842.02

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Solution

The fourth proportional to 2,074.78, 3,113.40 and 842.02 is: 1,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.78 : 3,113.40 = 842.02 : x
  2. Step 2: Convert to fraction form
    2,074.78/3,113.40 = 842.02/x
  3. Step 3: Cross multiply
    2,074.78x = 3,113.40 × 842.02
  4. Step 4: Simplify right side
    2,074.78x = 2,621,545.07
  5. Step 5: Solve for x
    x = 2,621,545.07/2,074.78
  6. Step 6: Final answer
    x = 1,263.53

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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.