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Finding the Fourth Proportional to 2,438.32, 3,657.83 and 771.88

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Solution

The fourth proportional to 2,438.32, 3,657.83 and 771.88 is: 1,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.32 : 3,657.83 = 771.88 : x
  2. Step 2: Convert to fraction form
    2,438.32/3,657.83 = 771.88/x
  3. Step 3: Cross multiply
    2,438.32x = 3,657.83 × 771.88
  4. Step 4: Simplify right side
    2,438.32x = 2,823,405.82
  5. Step 5: Solve for x
    x = 2,823,405.82/2,438.32
  6. Step 6: Final answer
    x = 1,157.93

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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.