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Finding the Fourth Proportional to 2,878.91, 3,973.02 and 1,620.17

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Solution

The fourth proportional to 2,878.91, 3,973.02 and 1,620.17 is: 2,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.91 : 3,973.02 = 1,620.17 : x
  2. Step 2: Convert to fraction form
    2,878.91/3,973.02 = 1,620.17/x
  3. Step 3: Cross multiply
    2,878.91x = 3,973.02 × 1,620.17
  4. Step 4: Simplify right side
    2,878.91x = 6,436,967.81
  5. Step 5: Solve for x
    x = 6,436,967.81/2,878.91
  6. Step 6: Final answer
    x = 2,235.90

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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.