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Finding the Fourth Proportional to 2,669.35, 4,004.57 and 914.48

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Solution

The fourth proportional to 2,669.35, 4,004.57 and 914.48 is: 1,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.35 : 4,004.57 = 914.48 : x
  2. Step 2: Convert to fraction form
    2,669.35/4,004.57 = 914.48/x
  3. Step 3: Cross multiply
    2,669.35x = 4,004.57 × 914.48
  4. Step 4: Simplify right side
    2,669.35x = 3,662,111.47
  5. Step 5: Solve for x
    x = 3,662,111.47/2,669.35
  6. Step 6: Final answer
    x = 1,371.91

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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.