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Finding the Fourth Proportional to 1,898.10, 2,618.02 and 1,544.04

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Solution

The fourth proportional to 1,898.10, 2,618.02 and 1,544.04 is: 2,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.10 : 2,618.02 = 1,544.04 : x
  2. Step 2: Convert to fraction form
    1,898.10/2,618.02 = 1,544.04/x
  3. Step 3: Cross multiply
    1,898.10x = 2,618.02 × 1,544.04
  4. Step 4: Simplify right side
    1,898.10x = 4,042,327.60
  5. Step 5: Solve for x
    x = 4,042,327.60/1,898.10
  6. Step 6: Final answer
    x = 2,129.67

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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.