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Finding the Fourth Proportional to 1,813.07, 2,719.40 and 514.44

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Solution

The fourth proportional to 1,813.07, 2,719.40 and 514.44 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.07 : 2,719.40 = 514.44 : x
  2. Step 2: Convert to fraction form
    1,813.07/2,719.40 = 514.44/x
  3. Step 3: Cross multiply
    1,813.07x = 2,719.40 × 514.44
  4. Step 4: Simplify right side
    1,813.07x = 1,398,968.14
  5. Step 5: Solve for x
    x = 1,398,968.14/1,813.07
  6. Step 6: Final answer
    x = 771.60

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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.