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Finding the Fourth Proportional to 1,903.87, 2,626.40 and 1,157.57

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Solution

The fourth proportional to 1,903.87, 2,626.40 and 1,157.57 is: 1,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.87 : 2,626.40 = 1,157.57 : x
  2. Step 2: Convert to fraction form
    1,903.87/2,626.40 = 1,157.57/x
  3. Step 3: Cross multiply
    1,903.87x = 2,626.40 × 1,157.57
  4. Step 4: Simplify right side
    1,903.87x = 3,040,231.61
  5. Step 5: Solve for x
    x = 3,040,231.61/1,903.87
  6. Step 6: Final answer
    x = 1,596.87

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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.