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Finding the Fourth Proportional to 2,607.90, 3,912.21 and 964.26

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Solution

The fourth proportional to 2,607.90, 3,912.21 and 964.26 is: 1,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.90 : 3,912.21 = 964.26 : x
  2. Step 2: Convert to fraction form
    2,607.90/3,912.21 = 964.26/x
  3. Step 3: Cross multiply
    2,607.90x = 3,912.21 × 964.26
  4. Step 4: Simplify right side
    2,607.90x = 3,772,387.61
  5. Step 5: Solve for x
    x = 3,772,387.61/2,607.90
  6. Step 6: Final answer
    x = 1,446.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.