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Finding the Fourth Proportional to 1,596.16, 2,392.80 and 815.72

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Solution

The fourth proportional to 1,596.16, 2,392.80 and 815.72 is: 1,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.16 : 2,392.80 = 815.72 : x
  2. Step 2: Convert to fraction form
    1,596.16/2,392.80 = 815.72/x
  3. Step 3: Cross multiply
    1,596.16x = 2,392.80 × 815.72
  4. Step 4: Simplify right side
    1,596.16x = 1,951,854.82
  5. Step 5: Solve for x
    x = 1,951,854.82/1,596.16
  6. Step 6: Final answer
    x = 1,222.84

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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.