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Finding the Fourth Proportional to 2,165.95, 3,248.45 and 685.28

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Solution

The fourth proportional to 2,165.95, 3,248.45 and 685.28 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.95 : 3,248.45 = 685.28 : x
  2. Step 2: Convert to fraction form
    2,165.95/3,248.45 = 685.28/x
  3. Step 3: Cross multiply
    2,165.95x = 3,248.45 × 685.28
  4. Step 4: Simplify right side
    2,165.95x = 2,226,105.08
  5. Step 5: Solve for x
    x = 2,226,105.08/2,165.95
  6. Step 6: Final answer
    x = 1,027.77

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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.