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Finding the Fourth Proportional to 1,898.78, 2,622.78 and 1,462.05

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Solution

The fourth proportional to 1,898.78, 2,622.78 and 1,462.05 is: 2,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.78 : 2,622.78 = 1,462.05 : x
  2. Step 2: Convert to fraction form
    1,898.78/2,622.78 = 1,462.05/x
  3. Step 3: Cross multiply
    1,898.78x = 2,622.78 × 1,462.05
  4. Step 4: Simplify right side
    1,898.78x = 3,834,635.50
  5. Step 5: Solve for x
    x = 3,834,635.50/1,898.78
  6. Step 6: Final answer
    x = 2,019.53

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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.