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Finding the Fourth Proportional to 1,813.73, 2,719.78 and 514.89

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Solution

The fourth proportional to 1,813.73, 2,719.78 and 514.89 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.73 : 2,719.78 = 514.89 : x
  2. Step 2: Convert to fraction form
    1,813.73/2,719.78 = 514.89/x
  3. Step 3: Cross multiply
    1,813.73x = 2,719.78 × 514.89
  4. Step 4: Simplify right side
    1,813.73x = 1,400,386.24
  5. Step 5: Solve for x
    x = 1,400,386.24/1,813.73
  6. Step 6: Final answer
    x = 772.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.