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Finding the Fourth Proportional to 1,775.30, 2,664.60 and 898.43

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Solution

The fourth proportional to 1,775.30, 2,664.60 and 898.43 is: 1,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.30 : 2,664.60 = 898.43 : x
  2. Step 2: Convert to fraction form
    1,775.30/2,664.60 = 898.43/x
  3. Step 3: Cross multiply
    1,775.30x = 2,664.60 × 898.43
  4. Step 4: Simplify right side
    1,775.30x = 2,393,944.94
  5. Step 5: Solve for x
    x = 2,393,944.94/1,775.30
  6. Step 6: Final answer
    x = 1,348.47

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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.