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Finding the Fourth Proportional to 2,281.80, 3,419.10 and 1,184.52

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Solution

The fourth proportional to 2,281.80, 3,419.10 and 1,184.52 is: 1,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.80 : 3,419.10 = 1,184.52 : x
  2. Step 2: Convert to fraction form
    2,281.80/3,419.10 = 1,184.52/x
  3. Step 3: Cross multiply
    2,281.80x = 3,419.10 × 1,184.52
  4. Step 4: Simplify right side
    2,281.80x = 4,049,992.33
  5. Step 5: Solve for x
    x = 4,049,992.33/2,281.80
  6. Step 6: Final answer
    x = 1,774.91

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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.