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Finding the Fourth Proportional to 1,903.97, 2,626.70 and 1,157.81

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Solution

The fourth proportional to 1,903.97, 2,626.70 and 1,157.81 is: 1,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.97 : 2,626.70 = 1,157.81 : x
  2. Step 2: Convert to fraction form
    1,903.97/2,626.70 = 1,157.81/x
  3. Step 3: Cross multiply
    1,903.97x = 2,626.70 × 1,157.81
  4. Step 4: Simplify right side
    1,903.97x = 3,041,219.53
  5. Step 5: Solve for x
    x = 3,041,219.53/1,903.97
  6. Step 6: Final answer
    x = 1,597.30

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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.