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Finding the Fourth Proportional to 1,903.42, 2,625.94 and 1,157.26

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Solution

The fourth proportional to 1,903.42, 2,625.94 and 1,157.26 is: 1,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.42 : 2,625.94 = 1,157.26 : x
  2. Step 2: Convert to fraction form
    1,903.42/2,625.94 = 1,157.26/x
  3. Step 3: Cross multiply
    1,903.42x = 2,625.94 × 1,157.26
  4. Step 4: Simplify right side
    1,903.42x = 3,038,895.32
  5. Step 5: Solve for x
    x = 3,038,895.32/1,903.42
  6. Step 6: Final answer
    x = 1,596.54

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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.