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Finding the Fourth Proportional to 2,798.39, 4,196.19 and 1,628.78

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Solution

The fourth proportional to 2,798.39, 4,196.19 and 1,628.78 is: 2,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.39 : 4,196.19 = 1,628.78 : x
  2. Step 2: Convert to fraction form
    2,798.39/4,196.19 = 1,628.78/x
  3. Step 3: Cross multiply
    2,798.39x = 4,196.19 × 1,628.78
  4. Step 4: Simplify right side
    2,798.39x = 6,834,670.35
  5. Step 5: Solve for x
    x = 6,834,670.35/2,798.39
  6. Step 6: Final answer
    x = 2,442.36

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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.