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Finding the Fourth Proportional to 1,627.84, 2,247.78 and 1,106.20

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Solution

The fourth proportional to 1,627.84, 2,247.78 and 1,106.20 is: 1,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.84 : 2,247.78 = 1,106.20 : x
  2. Step 2: Convert to fraction form
    1,627.84/2,247.78 = 1,106.20/x
  3. Step 3: Cross multiply
    1,627.84x = 2,247.78 × 1,106.20
  4. Step 4: Simplify right side
    1,627.84x = 2,486,494.24
  5. Step 5: Solve for x
    x = 2,486,494.24/1,627.84
  6. Step 6: Final answer
    x = 1,527.48

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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.