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Finding the Fourth Proportional to 2,348.75, 3,524.87 and 869.35

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Solution

The fourth proportional to 2,348.75, 3,524.87 and 869.35 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.75 : 3,524.87 = 869.35 : x
  2. Step 2: Convert to fraction form
    2,348.75/3,524.87 = 869.35/x
  3. Step 3: Cross multiply
    2,348.75x = 3,524.87 × 869.35
  4. Step 4: Simplify right side
    2,348.75x = 3,064,345.73
  5. Step 5: Solve for x
    x = 3,064,345.73/2,348.75
  6. Step 6: Final answer
    x = 1,304.67

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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.