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Finding the Fourth Proportional to 2,041.81, 3,060.89 and 944.66

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Solution

The fourth proportional to 2,041.81, 3,060.89 and 944.66 is: 1,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.81 : 3,060.89 = 944.66 : x
  2. Step 2: Convert to fraction form
    2,041.81/3,060.89 = 944.66/x
  3. Step 3: Cross multiply
    2,041.81x = 3,060.89 × 944.66
  4. Step 4: Simplify right side
    2,041.81x = 2,891,506.82
  5. Step 5: Solve for x
    x = 2,891,506.82/2,041.81
  6. Step 6: Final answer
    x = 1,416.15

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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.