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Finding the Fourth Proportional to 2,376.62, 3,548.70 and 2,128.22

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Solution

The fourth proportional to 2,376.62, 3,548.70 and 2,128.22 is: 3,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.62 : 3,548.70 = 2,128.22 : x
  2. Step 2: Convert to fraction form
    2,376.62/3,548.70 = 2,128.22/x
  3. Step 3: Cross multiply
    2,376.62x = 3,548.70 × 2,128.22
  4. Step 4: Simplify right side
    2,376.62x = 7,552,403.67
  5. Step 5: Solve for x
    x = 7,552,403.67/2,376.62
  6. Step 6: Final answer
    x = 3,177.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.