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Finding the Fourth Proportional to 1,903.55, 2,626.70 and 1,157.54

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Solution

The fourth proportional to 1,903.55, 2,626.70 and 1,157.54 is: 1,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.55 : 2,626.70 = 1,157.54 : x
  2. Step 2: Convert to fraction form
    1,903.55/2,626.70 = 1,157.54/x
  3. Step 3: Cross multiply
    1,903.55x = 2,626.70 × 1,157.54
  4. Step 4: Simplify right side
    1,903.55x = 3,040,491.40
  5. Step 5: Solve for x
    x = 3,040,491.40/1,903.55
  6. Step 6: Final answer
    x = 1,597.28

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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.