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Finding the Fourth Proportional to 2,878.54, 3,972.24 and 1,699.39

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Solution

The fourth proportional to 2,878.54, 3,972.24 and 1,699.39 is: 2,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.54 : 3,972.24 = 1,699.39 : x
  2. Step 2: Convert to fraction form
    2,878.54/3,972.24 = 1,699.39/x
  3. Step 3: Cross multiply
    2,878.54x = 3,972.24 × 1,699.39
  4. Step 4: Simplify right side
    2,878.54x = 6,750,369.32
  5. Step 5: Solve for x
    x = 6,750,369.32/2,878.54
  6. Step 6: Final answer
    x = 2,345.07

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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.