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Finding the Fourth Proportional to 1,342.10, 2,011.59 and 519.92

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Solution

The fourth proportional to 1,342.10, 2,011.59 and 519.92 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.10 : 2,011.59 = 519.92 : x
  2. Step 2: Convert to fraction form
    1,342.10/2,011.59 = 519.92/x
  3. Step 3: Cross multiply
    1,342.10x = 2,011.59 × 519.92
  4. Step 4: Simplify right side
    1,342.10x = 1,045,855.81
  5. Step 5: Solve for x
    x = 1,045,855.81/1,342.10
  6. Step 6: Final answer
    x = 779.27

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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.