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Finding the Fourth Proportional to 1,808.06, 2,494.80 and 1,022.08

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Solution

The fourth proportional to 1,808.06, 2,494.80 and 1,022.08 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.06 : 2,494.80 = 1,022.08 : x
  2. Step 2: Convert to fraction form
    1,808.06/2,494.80 = 1,022.08/x
  3. Step 3: Cross multiply
    1,808.06x = 2,494.80 × 1,022.08
  4. Step 4: Simplify right side
    1,808.06x = 2,549,885.18
  5. Step 5: Solve for x
    x = 2,549,885.18/1,808.06
  6. Step 6: Final answer
    x = 1,410.29

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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.