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Finding the Fourth Proportional to 2,238.03, 3,342.71 and 1,776.33

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Solution

The fourth proportional to 2,238.03, 3,342.71 and 1,776.33 is: 2,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.03 : 3,342.71 = 1,776.33 : x
  2. Step 2: Convert to fraction form
    2,238.03/3,342.71 = 1,776.33/x
  3. Step 3: Cross multiply
    2,238.03x = 3,342.71 × 1,776.33
  4. Step 4: Simplify right side
    2,238.03x = 5,937,760.50
  5. Step 5: Solve for x
    x = 5,937,760.50/2,238.03
  6. Step 6: Final answer
    x = 2,653.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.