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Finding the Fourth Proportional to 2,669.76, 4,005.72 and 938.52

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Solution

The fourth proportional to 2,669.76, 4,005.72 and 938.52 is: 1,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.76 : 4,005.72 = 938.52 : x
  2. Step 2: Convert to fraction form
    2,669.76/4,005.72 = 938.52/x
  3. Step 3: Cross multiply
    2,669.76x = 4,005.72 × 938.52
  4. Step 4: Simplify right side
    2,669.76x = 3,759,448.33
  5. Step 5: Solve for x
    x = 3,759,448.33/2,669.76
  6. Step 6: Final answer
    x = 1,408.16

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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.