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Finding the Fourth Proportional to 2,285.73, 3,428.06 and 898.47

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Solution

The fourth proportional to 2,285.73, 3,428.06 and 898.47 is: 1,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.73 : 3,428.06 = 898.47 : x
  2. Step 2: Convert to fraction form
    2,285.73/3,428.06 = 898.47/x
  3. Step 3: Cross multiply
    2,285.73x = 3,428.06 × 898.47
  4. Step 4: Simplify right side
    2,285.73x = 3,080,004.58
  5. Step 5: Solve for x
    x = 3,080,004.58/2,285.73
  6. Step 6: Final answer
    x = 1,347.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.