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Finding the Fourth Proportional to 2,653.81, 3,650.08 and 2,128.69

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Solution

The fourth proportional to 2,653.81, 3,650.08 and 2,128.69 is: 2,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.81 : 3,650.08 = 2,128.69 : x
  2. Step 2: Convert to fraction form
    2,653.81/3,650.08 = 2,128.69/x
  3. Step 3: Cross multiply
    2,653.81x = 3,650.08 × 2,128.69
  4. Step 4: Simplify right side
    2,653.81x = 7,769,888.80
  5. Step 5: Solve for x
    x = 7,769,888.80/2,653.81
  6. Step 6: Final answer
    x = 2,927.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.