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Finding the Fourth Proportional to 2,035.24, 3,053.33 and 785.99

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Solution

The fourth proportional to 2,035.24, 3,053.33 and 785.99 is: 1,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.24 : 3,053.33 = 785.99 : x
  2. Step 2: Convert to fraction form
    2,035.24/3,053.33 = 785.99/x
  3. Step 3: Cross multiply
    2,035.24x = 3,053.33 × 785.99
  4. Step 4: Simplify right side
    2,035.24x = 2,399,890.55
  5. Step 5: Solve for x
    x = 2,399,890.55/2,035.24
  6. Step 6: Final answer
    x = 1,179.17

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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.