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Finding the Fourth Proportional to 1,810.38, 2,711.82 and 930.23

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Solution

The fourth proportional to 1,810.38, 2,711.82 and 930.23 is: 1,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.38 : 2,711.82 = 930.23 : x
  2. Step 2: Convert to fraction form
    1,810.38/2,711.82 = 930.23/x
  3. Step 3: Cross multiply
    1,810.38x = 2,711.82 × 930.23
  4. Step 4: Simplify right side
    1,810.38x = 2,522,616.32
  5. Step 5: Solve for x
    x = 2,522,616.32/1,810.38
  6. Step 6: Final answer
    x = 1,393.42

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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.