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Finding the Fourth Proportional to 2,870.88, 3,954.27 and 2,206.46

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Solution

The fourth proportional to 2,870.88, 3,954.27 and 2,206.46 is: 3,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.88 : 3,954.27 = 2,206.46 : x
  2. Step 2: Convert to fraction form
    2,870.88/3,954.27 = 2,206.46/x
  3. Step 3: Cross multiply
    2,870.88x = 3,954.27 × 2,206.46
  4. Step 4: Simplify right side
    2,870.88x = 8,724,938.58
  5. Step 5: Solve for x
    x = 8,724,938.58/2,870.88
  6. Step 6: Final answer
    x = 3,039.12

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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.