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Finding the Fourth Proportional to 1,683.43, 2,524.77 and 1,066.26

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Solution

The fourth proportional to 1,683.43, 2,524.77 and 1,066.26 is: 1,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.43 : 2,524.77 = 1,066.26 : x
  2. Step 2: Convert to fraction form
    1,683.43/2,524.77 = 1,066.26/x
  3. Step 3: Cross multiply
    1,683.43x = 2,524.77 × 1,066.26
  4. Step 4: Simplify right side
    1,683.43x = 2,692,070.73
  5. Step 5: Solve for x
    x = 2,692,070.73/1,683.43
  6. Step 6: Final answer
    x = 1,599.16

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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.