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Finding the Fourth Proportional to 2,117, 3,175.98 and 749

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Solution

The fourth proportional to 2,117, 3,175.98 and 749 is: 1,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 3,175.98 = 749 : x
  2. Step 2: Convert to fraction form
    2,117/3,175.98 = 749/x
  3. Step 3: Cross multiply
    2,117x = 3,175.98 × 749
  4. Step 4: Simplify right side
    2,117x = 2,378,809.02
  5. Step 5: Solve for x
    x = 2,378,809.02/2,117
  6. Step 6: Final answer
    x = 1,123.67

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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.