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Finding the Fourth Proportional to 3,148.68, 4,722.66 and 840.36

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Solution

The fourth proportional to 3,148.68, 4,722.66 and 840.36 is: 1,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.68 : 4,722.66 = 840.36 : x
  2. Step 2: Convert to fraction form
    3,148.68/4,722.66 = 840.36/x
  3. Step 3: Cross multiply
    3,148.68x = 4,722.66 × 840.36
  4. Step 4: Simplify right side
    3,148.68x = 3,968,734.56
  5. Step 5: Solve for x
    x = 3,968,734.56/3,148.68
  6. Step 6: Final answer
    x = 1,260.44

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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.