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Finding the Fourth Proportional to 2,300.53, 3,451.14 and 839.34

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Solution

The fourth proportional to 2,300.53, 3,451.14 and 839.34 is: 1,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.53 : 3,451.14 = 839.34 : x
  2. Step 2: Convert to fraction form
    2,300.53/3,451.14 = 839.34/x
  3. Step 3: Cross multiply
    2,300.53x = 3,451.14 × 839.34
  4. Step 4: Simplify right side
    2,300.53x = 2,896,675.65
  5. Step 5: Solve for x
    x = 2,896,675.65/2,300.53
  6. Step 6: Final answer
    x = 1,259.14

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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.