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Finding the Fourth Proportional to 2,353.76, 3,531.05 and 967.85

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Solution

The fourth proportional to 2,353.76, 3,531.05 and 967.85 is: 1,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.76 : 3,531.05 = 967.85 : x
  2. Step 2: Convert to fraction form
    2,353.76/3,531.05 = 967.85/x
  3. Step 3: Cross multiply
    2,353.76x = 3,531.05 × 967.85
  4. Step 4: Simplify right side
    2,353.76x = 3,417,526.74
  5. Step 5: Solve for x
    x = 3,417,526.74/2,353.76
  6. Step 6: Final answer
    x = 1,451.94

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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.