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Finding the Fourth Proportional to 2,409.35, 3,612.20 and 1,922.13

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Solution

The fourth proportional to 2,409.35, 3,612.20 and 1,922.13 is: 2,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.35 : 3,612.20 = 1,922.13 : x
  2. Step 2: Convert to fraction form
    2,409.35/3,612.20 = 1,922.13/x
  3. Step 3: Cross multiply
    2,409.35x = 3,612.20 × 1,922.13
  4. Step 4: Simplify right side
    2,409.35x = 6,943,108.38
  5. Step 5: Solve for x
    x = 6,943,108.38/2,409.35
  6. Step 6: Final answer
    x = 2,881.74

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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.