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Finding the Fourth Proportional to 2,287.68, 3,428.52 and 1,054.92

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Solution

The fourth proportional to 2,287.68, 3,428.52 and 1,054.92 is: 1,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.68 : 3,428.52 = 1,054.92 : x
  2. Step 2: Convert to fraction form
    2,287.68/3,428.52 = 1,054.92/x
  3. Step 3: Cross multiply
    2,287.68x = 3,428.52 × 1,054.92
  4. Step 4: Simplify right side
    2,287.68x = 3,616,814.32
  5. Step 5: Solve for x
    x = 3,616,814.32/2,287.68
  6. Step 6: Final answer
    x = 1,581.00

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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.