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Finding the Fourth Proportional to 1,578.66, 2,177.60 and 1,018.25

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Solution

The fourth proportional to 1,578.66, 2,177.60 and 1,018.25 is: 1,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.66 : 2,177.60 = 1,018.25 : x
  2. Step 2: Convert to fraction form
    1,578.66/2,177.60 = 1,018.25/x
  3. Step 3: Cross multiply
    1,578.66x = 2,177.60 × 1,018.25
  4. Step 4: Simplify right side
    1,578.66x = 2,217,325.22
  5. Step 5: Solve for x
    x = 2,217,325.22/1,578.66
  6. Step 6: Final answer
    x = 1,404.56

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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.