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Finding the Fourth Proportional to 2,543.47, 3,506.54 and 2,174.41

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Solution

The fourth proportional to 2,543.47, 3,506.54 and 2,174.41 is: 2,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.47 : 3,506.54 = 2,174.41 : x
  2. Step 2: Convert to fraction form
    2,543.47/3,506.54 = 2,174.41/x
  3. Step 3: Cross multiply
    2,543.47x = 3,506.54 × 2,174.41
  4. Step 4: Simplify right side
    2,543.47x = 7,624,661.38
  5. Step 5: Solve for x
    x = 7,624,661.38/2,543.47
  6. Step 6: Final answer
    x = 2,997.74

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Why These Related Problems?

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