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Finding the Fourth Proportional to 2,176.50, 3,003.84 and 1,245

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Solution

The fourth proportional to 2,176.50, 3,003.84 and 1,245 is: 1,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.50 : 3,003.84 = 1,245 : x
  2. Step 2: Convert to fraction form
    2,176.50/3,003.84 = 1,245/x
  3. Step 3: Cross multiply
    2,176.50x = 3,003.84 × 1,245
  4. Step 4: Simplify right side
    2,176.50x = 3,739,780.80
  5. Step 5: Solve for x
    x = 3,739,780.80/2,176.50
  6. Step 6: Final answer
    x = 1,718.25

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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.