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Finding the Fourth Proportional to 2,092.40, 3,136.80 and 1,066.40

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Solution

The fourth proportional to 2,092.40, 3,136.80 and 1,066.40 is: 1,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.40 : 3,136.80 = 1,066.40 : x
  2. Step 2: Convert to fraction form
    2,092.40/3,136.80 = 1,066.40/x
  3. Step 3: Cross multiply
    2,092.40x = 3,136.80 × 1,066.40
  4. Step 4: Simplify right side
    2,092.40x = 3,345,083.52
  5. Step 5: Solve for x
    x = 3,345,083.52/2,092.40
  6. Step 6: Final answer
    x = 1,598.68

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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.