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Finding the Fourth Proportional to 1,808.69, 2,494.47 and 1,435.08

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Solution

The fourth proportional to 1,808.69, 2,494.47 and 1,435.08 is: 1,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.69 : 2,494.47 = 1,435.08 : x
  2. Step 2: Convert to fraction form
    1,808.69/2,494.47 = 1,435.08/x
  3. Step 3: Cross multiply
    1,808.69x = 2,494.47 × 1,435.08
  4. Step 4: Simplify right side
    1,808.69x = 3,579,764.01
  5. Step 5: Solve for x
    x = 3,579,764.01/1,808.69
  6. Step 6: Final answer
    x = 1,979.20

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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.