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Finding the Fourth Proportional to 2,041.20, 3,060.51 and 945.90

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Solution

The fourth proportional to 2,041.20, 3,060.51 and 945.90 is: 1,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.20 : 3,060.51 = 945.90 : x
  2. Step 2: Convert to fraction form
    2,041.20/3,060.51 = 945.90/x
  3. Step 3: Cross multiply
    2,041.20x = 3,060.51 × 945.90
  4. Step 4: Simplify right side
    2,041.20x = 2,894,936.41
  5. Step 5: Solve for x
    x = 2,894,936.41/2,041.20
  6. Step 6: Final answer
    x = 1,418.25

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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.