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Finding the Fourth Proportional to 1,743.86, 2,615.79 and 590.42

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Solution

The fourth proportional to 1,743.86, 2,615.79 and 590.42 is: 885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.86 : 2,615.79 = 590.42 : x
  2. Step 2: Convert to fraction form
    1,743.86/2,615.79 = 590.42/x
  3. Step 3: Cross multiply
    1,743.86x = 2,615.79 × 590.42
  4. Step 4: Simplify right side
    1,743.86x = 1,544,401.65
  5. Step 5: Solve for x
    x = 1,544,401.65/1,743.86
  6. Step 6: Final answer
    x = 885.63

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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.