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Finding the Fourth Proportional to 2,570.80, 3,856.47 and 839.02

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Solution

The fourth proportional to 2,570.80, 3,856.47 and 839.02 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.80 : 3,856.47 = 839.02 : x
  2. Step 2: Convert to fraction form
    2,570.80/3,856.47 = 839.02/x
  3. Step 3: Cross multiply
    2,570.80x = 3,856.47 × 839.02
  4. Step 4: Simplify right side
    2,570.80x = 3,235,655.46
  5. Step 5: Solve for x
    x = 3,235,655.46/2,570.80
  6. Step 6: Final answer
    x = 1,258.62

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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.