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Finding the Fourth Proportional to 2,543.42, 3,477.88 and 2,543.42

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Solution

The fourth proportional to 2,543.42, 3,477.88 and 2,543.42 is: 3,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.42 : 3,477.88 = 2,543.42 : x
  2. Step 2: Convert to fraction form
    2,543.42/3,477.88 = 2,543.42/x
  3. Step 3: Cross multiply
    2,543.42x = 3,477.88 × 2,543.42
  4. Step 4: Simplify right side
    2,543.42x = 8,845,721.42
  5. Step 5: Solve for x
    x = 8,845,721.42/2,543.42
  6. Step 6: Final answer
    x = 3,477.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.