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Finding the Fourth Proportional to 2,703.96, 4,054.05 and 1,471.95

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Solution

The fourth proportional to 2,703.96, 4,054.05 and 1,471.95 is: 2,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.96 : 4,054.05 = 1,471.95 : x
  2. Step 2: Convert to fraction form
    2,703.96/4,054.05 = 1,471.95/x
  3. Step 3: Cross multiply
    2,703.96x = 4,054.05 × 1,471.95
  4. Step 4: Simplify right side
    2,703.96x = 5,967,358.90
  5. Step 5: Solve for x
    x = 5,967,358.90/2,703.96
  6. Step 6: Final answer
    x = 2,206.90

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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.