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Finding the Fourth Proportional to 1,578.06, 2,177.48 and 914.78

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Solution

The fourth proportional to 1,578.06, 2,177.48 and 914.78 is: 1,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.06 : 2,177.48 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,578.06/2,177.48 = 914.78/x
  3. Step 3: Cross multiply
    1,578.06x = 2,177.48 × 914.78
  4. Step 4: Simplify right side
    1,578.06x = 1,991,899.69
  5. Step 5: Solve for x
    x = 1,991,899.69/1,578.06
  6. Step 6: Final answer
    x = 1,262.25

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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.