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Finding the Fourth Proportional to 2,606.65, 3,907.60 and 962.78

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Solution

The fourth proportional to 2,606.65, 3,907.60 and 962.78 is: 1,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.65 : 3,907.60 = 962.78 : x
  2. Step 2: Convert to fraction form
    2,606.65/3,907.60 = 962.78/x
  3. Step 3: Cross multiply
    2,606.65x = 3,907.60 × 962.78
  4. Step 4: Simplify right side
    2,606.65x = 3,762,137.18
  5. Step 5: Solve for x
    x = 3,762,137.18/2,606.65
  6. Step 6: Final answer
    x = 1,443.29

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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.