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Finding the Fourth Proportional to 1,578.03, 2,367.19 and 452.30

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Solution

The fourth proportional to 1,578.03, 2,367.19 and 452.30 is: 678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.03 : 2,367.19 = 452.30 : x
  2. Step 2: Convert to fraction form
    1,578.03/2,367.19 = 452.30/x
  3. Step 3: Cross multiply
    1,578.03x = 2,367.19 × 452.30
  4. Step 4: Simplify right side
    1,578.03x = 1,070,667.07
  5. Step 5: Solve for x
    x = 1,070,667.07/1,578.03
  6. Step 6: Final answer
    x = 678.48

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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.