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Finding the Fourth Proportional to 1,815.54, 2,505.06 and 1,069.23

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Solution

The fourth proportional to 1,815.54, 2,505.06 and 1,069.23 is: 1,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.54 : 2,505.06 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    1,815.54/2,505.06 = 1,069.23/x
  3. Step 3: Cross multiply
    1,815.54x = 2,505.06 × 1,069.23
  4. Step 4: Simplify right side
    1,815.54x = 2,678,471.31
  5. Step 5: Solve for x
    x = 2,678,471.31/1,815.54
  6. Step 6: Final answer
    x = 1,475.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.