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Finding the Fourth Proportional to 2,572.74, 3,860.74 and 1,341.02

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Solution

The fourth proportional to 2,572.74, 3,860.74 and 1,341.02 is: 2,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.74 : 3,860.74 = 1,341.02 : x
  2. Step 2: Convert to fraction form
    2,572.74/3,860.74 = 1,341.02/x
  3. Step 3: Cross multiply
    2,572.74x = 3,860.74 × 1,341.02
  4. Step 4: Simplify right side
    2,572.74x = 5,177,320.82
  5. Step 5: Solve for x
    x = 5,177,320.82/2,572.74
  6. Step 6: Final answer
    x = 2,012.37

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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.