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Finding the Fourth Proportional to 1,838.14, 2,758.18 and 1,213.40

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Solution

The fourth proportional to 1,838.14, 2,758.18 and 1,213.40 is: 1,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.14 : 2,758.18 = 1,213.40 : x
  2. Step 2: Convert to fraction form
    1,838.14/2,758.18 = 1,213.40/x
  3. Step 3: Cross multiply
    1,838.14x = 2,758.18 × 1,213.40
  4. Step 4: Simplify right side
    1,838.14x = 3,346,775.61
  5. Step 5: Solve for x
    x = 3,346,775.61/1,838.14
  6. Step 6: Final answer
    x = 1,820.74

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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.