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Finding the Fourth Proportional to 2,905.78, 4,009.98 and 1,579.42

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Solution

The fourth proportional to 2,905.78, 4,009.98 and 1,579.42 is: 2,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.78 : 4,009.98 = 1,579.42 : x
  2. Step 2: Convert to fraction form
    2,905.78/4,009.98 = 1,579.42/x
  3. Step 3: Cross multiply
    2,905.78x = 4,009.98 × 1,579.42
  4. Step 4: Simplify right side
    2,905.78x = 6,333,442.61
  5. Step 5: Solve for x
    x = 6,333,442.61/2,905.78
  6. Step 6: Final answer
    x = 2,179.60

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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.