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Finding the Fourth Proportional to 1,578.26, 2,177.74 and 948.69

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Solution

The fourth proportional to 1,578.26, 2,177.74 and 948.69 is: 1,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.26 : 2,177.74 = 948.69 : x
  2. Step 2: Convert to fraction form
    1,578.26/2,177.74 = 948.69/x
  3. Step 3: Cross multiply
    1,578.26x = 2,177.74 × 948.69
  4. Step 4: Simplify right side
    1,578.26x = 2,066,000.16
  5. Step 5: Solve for x
    x = 2,066,000.16/1,578.26
  6. Step 6: Final answer
    x = 1,309.04

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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.