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Finding the Fourth Proportional to 2,285.50, 3,428.40 and 898.72

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Solution

The fourth proportional to 2,285.50, 3,428.40 and 898.72 is: 1,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.50 : 3,428.40 = 898.72 : x
  2. Step 2: Convert to fraction form
    2,285.50/3,428.40 = 898.72/x
  3. Step 3: Cross multiply
    2,285.50x = 3,428.40 × 898.72
  4. Step 4: Simplify right side
    2,285.50x = 3,081,171.65
  5. Step 5: Solve for x
    x = 3,081,171.65/2,285.50
  6. Step 6: Final answer
    x = 1,348.14

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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.