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Finding the Fourth Proportional to 1,861.93, 2,563.02 and 1,609.74

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Solution

The fourth proportional to 1,861.93, 2,563.02 and 1,609.74 is: 2,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.93 : 2,563.02 = 1,609.74 : x
  2. Step 2: Convert to fraction form
    1,861.93/2,563.02 = 1,609.74/x
  3. Step 3: Cross multiply
    1,861.93x = 2,563.02 × 1,609.74
  4. Step 4: Simplify right side
    1,861.93x = 4,125,795.81
  5. Step 5: Solve for x
    x = 4,125,795.81/1,861.93
  6. Step 6: Final answer
    x = 2,215.87

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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.