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Finding the Fourth Proportional to 2,224.91, 3,071.80 and 1,428.58

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Solution

The fourth proportional to 2,224.91, 3,071.80 and 1,428.58 is: 1,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.91 : 3,071.80 = 1,428.58 : x
  2. Step 2: Convert to fraction form
    2,224.91/3,071.80 = 1,428.58/x
  3. Step 3: Cross multiply
    2,224.91x = 3,071.80 × 1,428.58
  4. Step 4: Simplify right side
    2,224.91x = 4,388,296.69
  5. Step 5: Solve for x
    x = 4,388,296.69/2,224.91
  6. Step 6: Final answer
    x = 1,972.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.