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Finding the Fourth Proportional to 2,182.50, 3,014.28 and 1,482.66

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Solution

The fourth proportional to 2,182.50, 3,014.28 and 1,482.66 is: 2,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.50 : 3,014.28 = 1,482.66 : x
  2. Step 2: Convert to fraction form
    2,182.50/3,014.28 = 1,482.66/x
  3. Step 3: Cross multiply
    2,182.50x = 3,014.28 × 1,482.66
  4. Step 4: Simplify right side
    2,182.50x = 4,469,152.38
  5. Step 5: Solve for x
    x = 4,469,152.38/2,182.50
  6. Step 6: Final answer
    x = 2,047.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.