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Finding the Fourth Proportional to 1,630.52, 2,247.18 and 1,187.72

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Solution

The fourth proportional to 1,630.52, 2,247.18 and 1,187.72 is: 1,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.52 : 2,247.18 = 1,187.72 : x
  2. Step 2: Convert to fraction form
    1,630.52/2,247.18 = 1,187.72/x
  3. Step 3: Cross multiply
    1,630.52x = 2,247.18 × 1,187.72
  4. Step 4: Simplify right side
    1,630.52x = 2,669,020.63
  5. Step 5: Solve for x
    x = 2,669,020.63/1,630.52
  6. Step 6: Final answer
    x = 1,636.91

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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.