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Finding the Fourth Proportional to 2,270.52, 3,403.81 and 1,883.74

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Solution

The fourth proportional to 2,270.52, 3,403.81 and 1,883.74 is: 2,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.52 : 3,403.81 = 1,883.74 : x
  2. Step 2: Convert to fraction form
    2,270.52/3,403.81 = 1,883.74/x
  3. Step 3: Cross multiply
    2,270.52x = 3,403.81 × 1,883.74
  4. Step 4: Simplify right side
    2,270.52x = 6,411,893.05
  5. Step 5: Solve for x
    x = 6,411,893.05/2,270.52
  6. Step 6: Final answer
    x = 2,823.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.