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Finding the Fourth Proportional to 1,526.13, 2,289.87 and 796.23

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Solution

The fourth proportional to 1,526.13, 2,289.87 and 796.23 is: 1,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.13 : 2,289.87 = 796.23 : x
  2. Step 2: Convert to fraction form
    1,526.13/2,289.87 = 796.23/x
  3. Step 3: Cross multiply
    1,526.13x = 2,289.87 × 796.23
  4. Step 4: Simplify right side
    1,526.13x = 1,823,263.19
  5. Step 5: Solve for x
    x = 1,823,263.19/1,526.13
  6. Step 6: Final answer
    x = 1,194.70

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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.