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Finding the Fourth Proportional to 2,418.32, 3,628.70 and 1,120.70

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Solution

The fourth proportional to 2,418.32, 3,628.70 and 1,120.70 is: 1,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.32 : 3,628.70 = 1,120.70 : x
  2. Step 2: Convert to fraction form
    2,418.32/3,628.70 = 1,120.70/x
  3. Step 3: Cross multiply
    2,418.32x = 3,628.70 × 1,120.70
  4. Step 4: Simplify right side
    2,418.32x = 4,066,660.34
  5. Step 5: Solve for x
    x = 4,066,660.34/2,418.32
  6. Step 6: Final answer
    x = 1,681.61

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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.