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Finding the Fourth Proportional to 2,308.94, 3,462.56 and 921.86

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Solution

The fourth proportional to 2,308.94, 3,462.56 and 921.86 is: 1,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.94 : 3,462.56 = 921.86 : x
  2. Step 2: Convert to fraction form
    2,308.94/3,462.56 = 921.86/x
  3. Step 3: Cross multiply
    2,308.94x = 3,462.56 × 921.86
  4. Step 4: Simplify right side
    2,308.94x = 3,191,973.64
  5. Step 5: Solve for x
    x = 3,191,973.64/2,308.94
  6. Step 6: Final answer
    x = 1,382.44

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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.