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Finding the Fourth Proportional to 1,578.55, 2,365.21 and 960.38

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Solution

The fourth proportional to 1,578.55, 2,365.21 and 960.38 is: 1,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.55 : 2,365.21 = 960.38 : x
  2. Step 2: Convert to fraction form
    1,578.55/2,365.21 = 960.38/x
  3. Step 3: Cross multiply
    1,578.55x = 2,365.21 × 960.38
  4. Step 4: Simplify right side
    1,578.55x = 2,271,503.89
  5. Step 5: Solve for x
    x = 2,271,503.89/1,578.55
  6. Step 6: Final answer
    x = 1,438.98

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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.