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Finding the Fourth Proportional to 3,132.84, 4,695.48 and 1,485.84

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Solution

The fourth proportional to 3,132.84, 4,695.48 and 1,485.84 is: 2,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,695.48 = 1,485.84 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,695.48 = 1,485.84/x
  3. Step 3: Cross multiply
    3,132.84x = 4,695.48 × 1,485.84
  4. Step 4: Simplify right side
    3,132.84x = 6,976,732.00
  5. Step 5: Solve for x
    x = 6,976,732.00/3,132.84
  6. Step 6: Final answer
    x = 2,226.97

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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.