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Finding the Fourth Proportional to 1,578.56, 2,367.18 and 538.38

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Solution

The fourth proportional to 1,578.56, 2,367.18 and 538.38 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.56 : 2,367.18 = 538.38 : x
  2. Step 2: Convert to fraction form
    1,578.56/2,367.18 = 538.38/x
  3. Step 3: Cross multiply
    1,578.56x = 2,367.18 × 538.38
  4. Step 4: Simplify right side
    1,578.56x = 1,274,442.37
  5. Step 5: Solve for x
    x = 1,274,442.37/1,578.56
  6. Step 6: Final answer
    x = 807.35

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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.