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Finding the Fourth Proportional to 2,771.40, 4,158.90 and 1,473.24

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Solution

The fourth proportional to 2,771.40, 4,158.90 and 1,473.24 is: 2,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 4,158.90 = 1,473.24 : x
  2. Step 2: Convert to fraction form
    2,771.40/4,158.90 = 1,473.24/x
  3. Step 3: Cross multiply
    2,771.40x = 4,158.90 × 1,473.24
  4. Step 4: Simplify right side
    2,771.40x = 6,127,057.84
  5. Step 5: Solve for x
    x = 6,127,057.84/2,771.40
  6. Step 6: Final answer
    x = 2,210.82

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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.