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Finding the Fourth Proportional to 2,901.15, 3,999.71 and 2,305.62

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Solution

The fourth proportional to 2,901.15, 3,999.71 and 2,305.62 is: 3,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.15 : 3,999.71 = 2,305.62 : x
  2. Step 2: Convert to fraction form
    2,901.15/3,999.71 = 2,305.62/x
  3. Step 3: Cross multiply
    2,901.15x = 3,999.71 × 2,305.62
  4. Step 4: Simplify right side
    2,901.15x = 9,221,810.58
  5. Step 5: Solve for x
    x = 9,221,810.58/2,901.15
  6. Step 6: Final answer
    x = 3,178.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.