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Finding the Fourth Proportional to 1,596.31, 2,392.34 and 621.88

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Solution

The fourth proportional to 1,596.31, 2,392.34 and 621.88 is: 931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.31 : 2,392.34 = 621.88 : x
  2. Step 2: Convert to fraction form
    1,596.31/2,392.34 = 621.88/x
  3. Step 3: Cross multiply
    1,596.31x = 2,392.34 × 621.88
  4. Step 4: Simplify right side
    1,596.31x = 1,487,739.31
  5. Step 5: Solve for x
    x = 1,487,739.31/1,596.31
  6. Step 6: Final answer
    x = 931.99

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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.