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Finding the Fourth Proportional to 2,027.16, 3,041.01 and 711.05

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Solution

The fourth proportional to 2,027.16, 3,041.01 and 711.05 is: 1,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.16 : 3,041.01 = 711.05 : x
  2. Step 2: Convert to fraction form
    2,027.16/3,041.01 = 711.05/x
  3. Step 3: Cross multiply
    2,027.16x = 3,041.01 × 711.05
  4. Step 4: Simplify right side
    2,027.16x = 2,162,294.96
  5. Step 5: Solve for x
    x = 2,162,294.96/2,027.16
  6. Step 6: Final answer
    x = 1,066.66

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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.