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Finding the Fourth Proportional to 3,154.34, 4,352.22 and 2,077.50

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Solution

The fourth proportional to 3,154.34, 4,352.22 and 2,077.50 is: 2,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.34 : 4,352.22 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    3,154.34/4,352.22 = 2,077.50/x
  3. Step 3: Cross multiply
    3,154.34x = 4,352.22 × 2,077.50
  4. Step 4: Simplify right side
    3,154.34x = 9,041,737.05
  5. Step 5: Solve for x
    x = 9,041,737.05/3,154.34
  6. Step 6: Final answer
    x = 2,866.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.