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Finding the Fourth Proportional to 2,285.06, 3,428.10 and 898.40

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Solution

The fourth proportional to 2,285.06, 3,428.10 and 898.40 is: 1,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.06 : 3,428.10 = 898.40 : x
  2. Step 2: Convert to fraction form
    2,285.06/3,428.10 = 898.40/x
  3. Step 3: Cross multiply
    2,285.06x = 3,428.10 × 898.40
  4. Step 4: Simplify right side
    2,285.06x = 3,079,805.04
  5. Step 5: Solve for x
    x = 3,079,805.04/2,285.06
  6. Step 6: Final answer
    x = 1,347.80

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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.