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Finding the Fourth Proportional to 1,813.34, 2,719.95 and 514.81

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Solution

The fourth proportional to 1,813.34, 2,719.95 and 514.81 is: 772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.34 : 2,719.95 = 514.81 : x
  2. Step 2: Convert to fraction form
    1,813.34/2,719.95 = 514.81/x
  3. Step 3: Cross multiply
    1,813.34x = 2,719.95 × 514.81
  4. Step 4: Simplify right side
    1,813.34x = 1,400,250.66
  5. Step 5: Solve for x
    x = 1,400,250.66/1,813.34
  6. Step 6: Final answer
    x = 772.19

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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.