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Finding the Fourth Proportional to 2,380.08, 3,570.54 and 919.11

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Solution

The fourth proportional to 2,380.08, 3,570.54 and 919.11 is: 1,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.08 : 3,570.54 = 919.11 : x
  2. Step 2: Convert to fraction form
    2,380.08/3,570.54 = 919.11/x
  3. Step 3: Cross multiply
    2,380.08x = 3,570.54 × 919.11
  4. Step 4: Simplify right side
    2,380.08x = 3,281,719.02
  5. Step 5: Solve for x
    x = 3,281,719.02/2,380.08
  6. Step 6: Final answer
    x = 1,378.83

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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.