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Finding the Fourth Proportional to 2,237.23, 3,357.36 and 776.39

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Solution

The fourth proportional to 2,237.23, 3,357.36 and 776.39 is: 1,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.23 : 3,357.36 = 776.39 : x
  2. Step 2: Convert to fraction form
    2,237.23/3,357.36 = 776.39/x
  3. Step 3: Cross multiply
    2,237.23x = 3,357.36 × 776.39
  4. Step 4: Simplify right side
    2,237.23x = 2,606,629.12
  5. Step 5: Solve for x
    x = 2,606,629.12/2,237.23
  6. Step 6: Final answer
    x = 1,165.12

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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.