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Finding the Fourth Proportional to 2,543.24, 3,509.49 and 1,703.80

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Solution

The fourth proportional to 2,543.24, 3,509.49 and 1,703.80 is: 2,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.24 : 3,509.49 = 1,703.80 : x
  2. Step 2: Convert to fraction form
    2,543.24/3,509.49 = 1,703.80/x
  3. Step 3: Cross multiply
    2,543.24x = 3,509.49 × 1,703.80
  4. Step 4: Simplify right side
    2,543.24x = 5,979,470.25
  5. Step 5: Solve for x
    x = 5,979,470.25/2,543.24
  6. Step 6: Final answer
    x = 2,351.13

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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.