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Finding the Fourth Proportional to 2,385.93, 3,578.02 and 825.53

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Solution

The fourth proportional to 2,385.93, 3,578.02 and 825.53 is: 1,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.93 : 3,578.02 = 825.53 : x
  2. Step 2: Convert to fraction form
    2,385.93/3,578.02 = 825.53/x
  3. Step 3: Cross multiply
    2,385.93x = 3,578.02 × 825.53
  4. Step 4: Simplify right side
    2,385.93x = 2,953,762.85
  5. Step 5: Solve for x
    x = 2,953,762.85/2,385.93
  6. Step 6: Final answer
    x = 1,237.99

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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.