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Finding the Fourth Proportional to 2,901.56, 3,997.50 and 2,381

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Solution

The fourth proportional to 2,901.56, 3,997.50 and 2,381 is: 3,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.56 : 3,997.50 = 2,381 : x
  2. Step 2: Convert to fraction form
    2,901.56/3,997.50 = 2,381/x
  3. Step 3: Cross multiply
    2,901.56x = 3,997.50 × 2,381
  4. Step 4: Simplify right side
    2,901.56x = 9,518,047.50
  5. Step 5: Solve for x
    x = 9,518,047.50/2,901.56
  6. Step 6: Final answer
    x = 3,280.32

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Why These Related Problems?

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