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Finding the Fourth Proportional to 2,901.84, 4,002.12 and 2,376.96

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Solution

The fourth proportional to 2,901.84, 4,002.12 and 2,376.96 is: 3,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.84 : 4,002.12 = 2,376.96 : x
  2. Step 2: Convert to fraction form
    2,901.84/4,002.12 = 2,376.96/x
  3. Step 3: Cross multiply
    2,901.84x = 4,002.12 × 2,376.96
  4. Step 4: Simplify right side
    2,901.84x = 9,512,879.16
  5. Step 5: Solve for x
    x = 9,512,879.16/2,901.84
  6. Step 6: Final answer
    x = 3,278.22

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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.