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Finding the Fourth Proportional to 2,606.15, 3,909.42 and 962.66

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Solution

The fourth proportional to 2,606.15, 3,909.42 and 962.66 is: 1,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.15 : 3,909.42 = 962.66 : x
  2. Step 2: Convert to fraction form
    2,606.15/3,909.42 = 962.66/x
  3. Step 3: Cross multiply
    2,606.15x = 3,909.42 × 962.66
  4. Step 4: Simplify right side
    2,606.15x = 3,763,422.71
  5. Step 5: Solve for x
    x = 3,763,422.71/2,606.15
  6. Step 6: Final answer
    x = 1,444.06

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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.