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Finding the Fourth Proportional to 2,354.87, 3,531.48 and 967.81

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Solution

The fourth proportional to 2,354.87, 3,531.48 and 967.81 is: 1,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.87 : 3,531.48 = 967.81 : x
  2. Step 2: Convert to fraction form
    2,354.87/3,531.48 = 967.81/x
  3. Step 3: Cross multiply
    2,354.87x = 3,531.48 × 967.81
  4. Step 4: Simplify right side
    2,354.87x = 3,417,801.66
  5. Step 5: Solve for x
    x = 3,417,801.66/2,354.87
  6. Step 6: Final answer
    x = 1,451.38

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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.