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Finding the Fourth Proportional to 2,330.76, 3,494.31 and 869.12

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Solution

The fourth proportional to 2,330.76, 3,494.31 and 869.12 is: 1,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.76 : 3,494.31 = 869.12 : x
  2. Step 2: Convert to fraction form
    2,330.76/3,494.31 = 869.12/x
  3. Step 3: Cross multiply
    2,330.76x = 3,494.31 × 869.12
  4. Step 4: Simplify right side
    2,330.76x = 3,036,957.24
  5. Step 5: Solve for x
    x = 3,036,957.24/2,330.76
  6. Step 6: Final answer
    x = 1,302.99

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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.