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Finding the Fourth Proportional to 2,354.02, 3,548.72 and 2,195.47

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Solution

The fourth proportional to 2,354.02, 3,548.72 and 2,195.47 is: 3,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.02 : 3,548.72 = 2,195.47 : x
  2. Step 2: Convert to fraction form
    2,354.02/3,548.72 = 2,195.47/x
  3. Step 3: Cross multiply
    2,354.02x = 3,548.72 × 2,195.47
  4. Step 4: Simplify right side
    2,354.02x = 7,791,108.30
  5. Step 5: Solve for x
    x = 7,791,108.30/2,354.02
  6. Step 6: Final answer
    x = 3,309.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.