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Finding the Fourth Proportional to 1,813.14, 2,719.85 and 514.71

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Solution

The fourth proportional to 1,813.14, 2,719.85 and 514.71 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.14 : 2,719.85 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,813.14/2,719.85 = 514.71/x
  3. Step 3: Cross multiply
    1,813.14x = 2,719.85 × 514.71
  4. Step 4: Simplify right side
    1,813.14x = 1,399,931.42
  5. Step 5: Solve for x
    x = 1,399,931.42/1,813.14
  6. Step 6: Final answer
    x = 772.10

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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.