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Finding the Fourth Proportional to 2,276.86, 3,408.13 and 1,569.94

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Solution

The fourth proportional to 2,276.86, 3,408.13 and 1,569.94 is: 2,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.86 : 3,408.13 = 1,569.94 : x
  2. Step 2: Convert to fraction form
    2,276.86/3,408.13 = 1,569.94/x
  3. Step 3: Cross multiply
    2,276.86x = 3,408.13 × 1,569.94
  4. Step 4: Simplify right side
    2,276.86x = 5,350,534.72
  5. Step 5: Solve for x
    x = 5,350,534.72/2,276.86
  6. Step 6: Final answer
    x = 2,349.97

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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.