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Finding the Fourth Proportional to 2,238.03, 3,357.05 and 776.69

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Solution

The fourth proportional to 2,238.03, 3,357.05 and 776.69 is: 1,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.03 : 3,357.05 = 776.69 : x
  2. Step 2: Convert to fraction form
    2,238.03/3,357.05 = 776.69/x
  3. Step 3: Cross multiply
    2,238.03x = 3,357.05 × 776.69
  4. Step 4: Simplify right side
    2,238.03x = 2,607,379.08
  5. Step 5: Solve for x
    x = 2,607,379.08/2,238.03
  6. Step 6: Final answer
    x = 1,165.03

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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.