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Finding the Fourth Proportional to 2,565.02, 3,846.85 and 716.02

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Solution

The fourth proportional to 2,565.02, 3,846.85 and 716.02 is: 1,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.02 : 3,846.85 = 716.02 : x
  2. Step 2: Convert to fraction form
    2,565.02/3,846.85 = 716.02/x
  3. Step 3: Cross multiply
    2,565.02x = 3,846.85 × 716.02
  4. Step 4: Simplify right side
    2,565.02x = 2,754,410.13
  5. Step 5: Solve for x
    x = 2,754,410.13/2,565.02
  6. Step 6: Final answer
    x = 1,073.83

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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.