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Finding the Fourth Proportional to 1,600.46, 2,209.27 and 1,375.51

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Solution

The fourth proportional to 1,600.46, 2,209.27 and 1,375.51 is: 1,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.46 : 2,209.27 = 1,375.51 : x
  2. Step 2: Convert to fraction form
    1,600.46/2,209.27 = 1,375.51/x
  3. Step 3: Cross multiply
    1,600.46x = 2,209.27 × 1,375.51
  4. Step 4: Simplify right side
    1,600.46x = 3,038,861.93
  5. Step 5: Solve for x
    x = 3,038,861.93/1,600.46
  6. Step 6: Final answer
    x = 1,898.74

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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.