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Finding the Fourth Proportional to 2,385.44, 3,578.36 and 1,344.86

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Solution

The fourth proportional to 2,385.44, 3,578.36 and 1,344.86 is: 2,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.44 : 3,578.36 = 1,344.86 : x
  2. Step 2: Convert to fraction form
    2,385.44/3,578.36 = 1,344.86/x
  3. Step 3: Cross multiply
    2,385.44x = 3,578.36 × 1,344.86
  4. Step 4: Simplify right side
    2,385.44x = 4,812,393.23
  5. Step 5: Solve for x
    x = 4,812,393.23/2,385.44
  6. Step 6: Final answer
    x = 2,017.40

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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.