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Finding the Fourth Proportional to 1,578.15, 2,367.26 and 538.39

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Solution

The fourth proportional to 1,578.15, 2,367.26 and 538.39 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.15 : 2,367.26 = 538.39 : x
  2. Step 2: Convert to fraction form
    1,578.15/2,367.26 = 538.39/x
  3. Step 3: Cross multiply
    1,578.15x = 2,367.26 × 538.39
  4. Step 4: Simplify right side
    1,578.15x = 1,274,510.39
  5. Step 5: Solve for x
    x = 1,274,510.39/1,578.15
  6. Step 6: Final answer
    x = 807.60

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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.