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Finding the Fourth Proportional to 2,308.76, 3,462.36 and 921.66

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Solution

The fourth proportional to 2,308.76, 3,462.36 and 921.66 is: 1,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.76 : 3,462.36 = 921.66 : x
  2. Step 2: Convert to fraction form
    2,308.76/3,462.36 = 921.66/x
  3. Step 3: Cross multiply
    2,308.76x = 3,462.36 × 921.66
  4. Step 4: Simplify right side
    2,308.76x = 3,191,118.72
  5. Step 5: Solve for x
    x = 3,191,118.72/2,308.76
  6. Step 6: Final answer
    x = 1,382.18

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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.