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Finding the Fourth Proportional to 2,298.95, 3,450.17 and 1,684.26

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Solution

The fourth proportional to 2,298.95, 3,450.17 and 1,684.26 is: 2,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.95 : 3,450.17 = 1,684.26 : x
  2. Step 2: Convert to fraction form
    2,298.95/3,450.17 = 1,684.26/x
  3. Step 3: Cross multiply
    2,298.95x = 3,450.17 × 1,684.26
  4. Step 4: Simplify right side
    2,298.95x = 5,810,957.65
  5. Step 5: Solve for x
    x = 5,810,957.65/2,298.95
  6. Step 6: Final answer
    x = 2,527.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.