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Finding the Fourth Proportional to 2,605.90, 3,907.89 and 962.02

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Solution

The fourth proportional to 2,605.90, 3,907.89 and 962.02 is: 1,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.90 : 3,907.89 = 962.02 : x
  2. Step 2: Convert to fraction form
    2,605.90/3,907.89 = 962.02/x
  3. Step 3: Cross multiply
    2,605.90x = 3,907.89 × 962.02
  4. Step 4: Simplify right side
    2,605.90x = 3,759,468.34
  5. Step 5: Solve for x
    x = 3,759,468.34/2,605.90
  6. Step 6: Final answer
    x = 1,442.68

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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.