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Finding the Fourth Proportional to 2,287.19, 3,428.73 and 1,053.97

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Solution

The fourth proportional to 2,287.19, 3,428.73 and 1,053.97 is: 1,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.19 : 3,428.73 = 1,053.97 : x
  2. Step 2: Convert to fraction form
    2,287.19/3,428.73 = 1,053.97/x
  3. Step 3: Cross multiply
    2,287.19x = 3,428.73 × 1,053.97
  4. Step 4: Simplify right side
    2,287.19x = 3,613,769.99
  5. Step 5: Solve for x
    x = 3,613,769.99/2,287.19
  6. Step 6: Final answer
    x = 1,580.00

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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.