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Finding the Fourth Proportional to 2,309.50, 3,190.58 and 1,514.71

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Solution

The fourth proportional to 2,309.50, 3,190.58 and 1,514.71 is: 2,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.50 : 3,190.58 = 1,514.71 : x
  2. Step 2: Convert to fraction form
    2,309.50/3,190.58 = 1,514.71/x
  3. Step 3: Cross multiply
    2,309.50x = 3,190.58 × 1,514.71
  4. Step 4: Simplify right side
    2,309.50x = 4,832,803.43
  5. Step 5: Solve for x
    x = 4,832,803.43/2,309.50
  6. Step 6: Final answer
    x = 2,092.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.