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Finding the Fourth Proportional to 2,165.84, 3,248.68 and 704.95

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Solution

The fourth proportional to 2,165.84, 3,248.68 and 704.95 is: 1,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.84 : 3,248.68 = 704.95 : x
  2. Step 2: Convert to fraction form
    2,165.84/3,248.68 = 704.95/x
  3. Step 3: Cross multiply
    2,165.84x = 3,248.68 × 704.95
  4. Step 4: Simplify right side
    2,165.84x = 2,290,168.66
  5. Step 5: Solve for x
    x = 2,290,168.66/2,165.84
  6. Step 6: Final answer
    x = 1,057.40

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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.