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Finding the Fourth Proportional to 2,176, 3,003.15 and 1,244.50

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Solution

The fourth proportional to 2,176, 3,003.15 and 1,244.50 is: 1,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176 : 3,003.15 = 1,244.50 : x
  2. Step 2: Convert to fraction form
    2,176/3,003.15 = 1,244.50/x
  3. Step 3: Cross multiply
    2,176x = 3,003.15 × 1,244.50
  4. Step 4: Simplify right side
    2,176x = 3,737,420.18
  5. Step 5: Solve for x
    x = 3,737,420.18/2,176
  6. Step 6: Final answer
    x = 1,717.56

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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.