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Finding the Fourth Proportional to 2,596.95, 3,895.61 and 748.08

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Solution

The fourth proportional to 2,596.95, 3,895.61 and 748.08 is: 1,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.95 : 3,895.61 = 748.08 : x
  2. Step 2: Convert to fraction form
    2,596.95/3,895.61 = 748.08/x
  3. Step 3: Cross multiply
    2,596.95x = 3,895.61 × 748.08
  4. Step 4: Simplify right side
    2,596.95x = 2,914,224.19
  5. Step 5: Solve for x
    x = 2,914,224.19/2,596.95
  6. Step 6: Final answer
    x = 1,122.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.