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Finding the Fourth Proportional to 2,071.91, 3,109.25 and 901.56

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Solution

The fourth proportional to 2,071.91, 3,109.25 and 901.56 is: 1,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.91 : 3,109.25 = 901.56 : x
  2. Step 2: Convert to fraction form
    2,071.91/3,109.25 = 901.56/x
  3. Step 3: Cross multiply
    2,071.91x = 3,109.25 × 901.56
  4. Step 4: Simplify right side
    2,071.91x = 2,803,189.34
  5. Step 5: Solve for x
    x = 2,803,189.34/2,071.91
  6. Step 6: Final answer
    x = 1,352.95

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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.