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Finding the Fourth Proportional to 2,298.32, 3,446.84 and 930

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Solution

The fourth proportional to 2,298.32, 3,446.84 and 930 is: 1,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.32 : 3,446.84 = 930 : x
  2. Step 2: Convert to fraction form
    2,298.32/3,446.84 = 930/x
  3. Step 3: Cross multiply
    2,298.32x = 3,446.84 × 930
  4. Step 4: Simplify right side
    2,298.32x = 3,205,561.20
  5. Step 5: Solve for x
    x = 3,205,561.20/2,298.32
  6. Step 6: Final answer
    x = 1,394.74

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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.