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Finding the Fourth Proportional to 1,595.38, 2,392.92 and 499.66

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Solution

The fourth proportional to 1,595.38, 2,392.92 and 499.66 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.38 : 2,392.92 = 499.66 : x
  2. Step 2: Convert to fraction form
    1,595.38/2,392.92 = 499.66/x
  3. Step 3: Cross multiply
    1,595.38x = 2,392.92 × 499.66
  4. Step 4: Simplify right side
    1,595.38x = 1,195,646.41
  5. Step 5: Solve for x
    x = 1,195,646.41/1,595.38
  6. Step 6: Final answer
    x = 749.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.