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Finding the Fourth Proportional to 2,303.31, 3,454.41 and 659.46

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Solution

The fourth proportional to 2,303.31, 3,454.41 and 659.46 is: 989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.31 : 3,454.41 = 659.46 : x
  2. Step 2: Convert to fraction form
    2,303.31/3,454.41 = 659.46/x
  3. Step 3: Cross multiply
    2,303.31x = 3,454.41 × 659.46
  4. Step 4: Simplify right side
    2,303.31x = 2,278,045.22
  5. Step 5: Solve for x
    x = 2,278,045.22/2,303.31
  6. Step 6: Final answer
    x = 989.03

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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.