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Finding the Fourth Proportional to 1,815.41, 2,506.03 and 1,226.74

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Solution

The fourth proportional to 1,815.41, 2,506.03 and 1,226.74 is: 1,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.41 : 2,506.03 = 1,226.74 : x
  2. Step 2: Convert to fraction form
    1,815.41/2,506.03 = 1,226.74/x
  3. Step 3: Cross multiply
    1,815.41x = 2,506.03 × 1,226.74
  4. Step 4: Simplify right side
    1,815.41x = 3,074,247.24
  5. Step 5: Solve for x
    x = 3,074,247.24/1,815.41
  6. Step 6: Final answer
    x = 1,693.42

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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.