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Finding the Fourth Proportional to 2,412.08, 3,612.22 and 2,178.34

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Solution

The fourth proportional to 2,412.08, 3,612.22 and 2,178.34 is: 3,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.08 : 3,612.22 = 2,178.34 : x
  2. Step 2: Convert to fraction form
    2,412.08/3,612.22 = 2,178.34/x
  3. Step 3: Cross multiply
    2,412.08x = 3,612.22 × 2,178.34
  4. Step 4: Simplify right side
    2,412.08x = 7,868,643.31
  5. Step 5: Solve for x
    x = 7,868,643.31/2,412.08
  6. Step 6: Final answer
    x = 3,262.18

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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.