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Finding the Fourth Proportional to 2,905.18, 4,009.18 and 1,578.90

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Solution

The fourth proportional to 2,905.18, 4,009.18 and 1,578.90 is: 2,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.18 : 4,009.18 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    2,905.18/4,009.18 = 1,578.90/x
  3. Step 3: Cross multiply
    2,905.18x = 4,009.18 × 1,578.90
  4. Step 4: Simplify right side
    2,905.18x = 6,330,094.30
  5. Step 5: Solve for x
    x = 6,330,094.30/2,905.18
  6. Step 6: Final answer
    x = 2,178.90

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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.