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Finding the Fourth Proportional to 2,165.11, 3,246.98 and 703.92

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Solution

The fourth proportional to 2,165.11, 3,246.98 and 703.92 is: 1,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.11 : 3,246.98 = 703.92 : x
  2. Step 2: Convert to fraction form
    2,165.11/3,246.98 = 703.92/x
  3. Step 3: Cross multiply
    2,165.11x = 3,246.98 × 703.92
  4. Step 4: Simplify right side
    2,165.11x = 2,285,614.16
  5. Step 5: Solve for x
    x = 2,285,614.16/2,165.11
  6. Step 6: Final answer
    x = 1,055.66

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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.