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Finding the Fourth Proportional to 2,300.14, 3,450.35 and 718.65

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Solution

The fourth proportional to 2,300.14, 3,450.35 and 718.65 is: 1,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.14 : 3,450.35 = 718.65 : x
  2. Step 2: Convert to fraction form
    2,300.14/3,450.35 = 718.65/x
  3. Step 3: Cross multiply
    2,300.14x = 3,450.35 × 718.65
  4. Step 4: Simplify right side
    2,300.14x = 2,479,594.03
  5. Step 5: Solve for x
    x = 2,479,594.03/2,300.14
  6. Step 6: Final answer
    x = 1,078.02

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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.