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Finding the Fourth Proportional to 2,543.24, 3,507.08 and 1,703.82

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Solution

The fourth proportional to 2,543.24, 3,507.08 and 1,703.82 is: 2,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.24 : 3,507.08 = 1,703.82 : x
  2. Step 2: Convert to fraction form
    2,543.24/3,507.08 = 1,703.82/x
  3. Step 3: Cross multiply
    2,543.24x = 3,507.08 × 1,703.82
  4. Step 4: Simplify right side
    2,543.24x = 5,975,433.05
  5. Step 5: Solve for x
    x = 5,975,433.05/2,543.24
  6. Step 6: Final answer
    x = 2,349.54

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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.