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Finding the Fourth Proportional to 2,306.02, 3,458.52 and 919.10

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Solution

The fourth proportional to 2,306.02, 3,458.52 and 919.10 is: 1,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.02 : 3,458.52 = 919.10 : x
  2. Step 2: Convert to fraction form
    2,306.02/3,458.52 = 919.10/x
  3. Step 3: Cross multiply
    2,306.02x = 3,458.52 × 919.10
  4. Step 4: Simplify right side
    2,306.02x = 3,178,725.73
  5. Step 5: Solve for x
    x = 3,178,725.73/2,306.02
  6. Step 6: Final answer
    x = 1,378.45

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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.