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Finding the Fourth Proportional to 2,870.94, 4,282.21 and 2,608.50

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Solution

The fourth proportional to 2,870.94, 4,282.21 and 2,608.50 is: 3,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.94 : 4,282.21 = 2,608.50 : x
  2. Step 2: Convert to fraction form
    2,870.94/4,282.21 = 2,608.50/x
  3. Step 3: Cross multiply
    2,870.94x = 4,282.21 × 2,608.50
  4. Step 4: Simplify right side
    2,870.94x = 11,170,144.79
  5. Step 5: Solve for x
    x = 11,170,144.79/2,870.94
  6. Step 6: Final answer
    x = 3,890.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.