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Finding the Fourth Proportional to 1,595.10, 2,392.89 and 499.26

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Solution

The fourth proportional to 1,595.10, 2,392.89 and 499.26 is: 748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.10 : 2,392.89 = 499.26 : x
  2. Step 2: Convert to fraction form
    1,595.10/2,392.89 = 499.26/x
  3. Step 3: Cross multiply
    1,595.10x = 2,392.89 × 499.26
  4. Step 4: Simplify right side
    1,595.10x = 1,194,674.26
  5. Step 5: Solve for x
    x = 1,194,674.26/1,595.10
  6. Step 6: Final answer
    x = 748.97

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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.