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Finding the Fourth Proportional to 1,578.61, 2,177.78 and 948.77

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Solution

The fourth proportional to 1,578.61, 2,177.78 and 948.77 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.61 : 2,177.78 = 948.77 : x
  2. Step 2: Convert to fraction form
    1,578.61/2,177.78 = 948.77/x
  3. Step 3: Cross multiply
    1,578.61x = 2,177.78 × 948.77
  4. Step 4: Simplify right side
    1,578.61x = 2,066,212.33
  5. Step 5: Solve for x
    x = 2,066,212.33/1,578.61
  6. Step 6: Final answer
    x = 1,308.88

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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.