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Finding the Fourth Proportional to 2,808.50, 4,211.13 and 1,248.50

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Solution

The fourth proportional to 2,808.50, 4,211.13 and 1,248.50 is: 1,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.50 : 4,211.13 = 1,248.50 : x
  2. Step 2: Convert to fraction form
    2,808.50/4,211.13 = 1,248.50/x
  3. Step 3: Cross multiply
    2,808.50x = 4,211.13 × 1,248.50
  4. Step 4: Simplify right side
    2,808.50x = 5,257,595.81
  5. Step 5: Solve for x
    x = 5,257,595.81/2,808.50
  6. Step 6: Final answer
    x = 1,872.03

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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.