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Finding the Fourth Proportional to 2,767.46, 4,152.63 and 1,125.22

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Solution

The fourth proportional to 2,767.46, 4,152.63 and 1,125.22 is: 1,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.46 : 4,152.63 = 1,125.22 : x
  2. Step 2: Convert to fraction form
    2,767.46/4,152.63 = 1,125.22/x
  3. Step 3: Cross multiply
    2,767.46x = 4,152.63 × 1,125.22
  4. Step 4: Simplify right side
    2,767.46x = 4,672,622.33
  5. Step 5: Solve for x
    x = 4,672,622.33/2,767.46
  6. Step 6: Final answer
    x = 1,688.42

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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.