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Finding the Fourth Proportional to 2,901.74, 3,992.49 and 2,820.06

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Solution

The fourth proportional to 2,901.74, 3,992.49 and 2,820.06 is: 3,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.74 : 3,992.49 = 2,820.06 : x
  2. Step 2: Convert to fraction form
    2,901.74/3,992.49 = 2,820.06/x
  3. Step 3: Cross multiply
    2,901.74x = 3,992.49 × 2,820.06
  4. Step 4: Simplify right side
    2,901.74x = 11,259,061.35
  5. Step 5: Solve for x
    x = 11,259,061.35/2,901.74
  6. Step 6: Final answer
    x = 3,880.11

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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.