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Finding the Fourth Proportional to 2,043.69, 3,066.54 and 811.07

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Solution

The fourth proportional to 2,043.69, 3,066.54 and 811.07 is: 1,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.69 : 3,066.54 = 811.07 : x
  2. Step 2: Convert to fraction form
    2,043.69/3,066.54 = 811.07/x
  3. Step 3: Cross multiply
    2,043.69x = 3,066.54 × 811.07
  4. Step 4: Simplify right side
    2,043.69x = 2,487,178.60
  5. Step 5: Solve for x
    x = 2,487,178.60/2,043.69
  6. Step 6: Final answer
    x = 1,217.00

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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.