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Finding the Fourth Proportional to 2,125.66, 2,932.04 and 1,338.34

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Solution

The fourth proportional to 2,125.66, 2,932.04 and 1,338.34 is: 1,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.66 : 2,932.04 = 1,338.34 : x
  2. Step 2: Convert to fraction form
    2,125.66/2,932.04 = 1,338.34/x
  3. Step 3: Cross multiply
    2,125.66x = 2,932.04 × 1,338.34
  4. Step 4: Simplify right side
    2,125.66x = 3,924,066.41
  5. Step 5: Solve for x
    x = 3,924,066.41/2,125.66
  6. Step 6: Final answer
    x = 1,846.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.