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Finding the Fourth Proportional to 2,771.47, 4,145.05 and 2,411.83

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Solution

The fourth proportional to 2,771.47, 4,145.05 and 2,411.83 is: 3,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.47 : 4,145.05 = 2,411.83 : x
  2. Step 2: Convert to fraction form
    2,771.47/4,145.05 = 2,411.83/x
  3. Step 3: Cross multiply
    2,771.47x = 4,145.05 × 2,411.83
  4. Step 4: Simplify right side
    2,771.47x = 9,997,155.94
  5. Step 5: Solve for x
    x = 9,997,155.94/2,771.47
  6. Step 6: Final answer
    x = 3,607.17

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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.