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Finding the Fourth Proportional to 2,041.18, 3,062.06 and 945.84

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Solution

The fourth proportional to 2,041.18, 3,062.06 and 945.84 is: 1,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.18 : 3,062.06 = 945.84 : x
  2. Step 2: Convert to fraction form
    2,041.18/3,062.06 = 945.84/x
  3. Step 3: Cross multiply
    2,041.18x = 3,062.06 × 945.84
  4. Step 4: Simplify right side
    2,041.18x = 2,896,218.83
  5. Step 5: Solve for x
    x = 2,896,218.83/2,041.18
  6. Step 6: Final answer
    x = 1,418.89

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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.