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Finding the Fourth Proportional to 2,964.60, 4,086.65 and 2,127.06

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Solution

The fourth proportional to 2,964.60, 4,086.65 and 2,127.06 is: 2,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.60 : 4,086.65 = 2,127.06 : x
  2. Step 2: Convert to fraction form
    2,964.60/4,086.65 = 2,127.06/x
  3. Step 3: Cross multiply
    2,964.60x = 4,086.65 × 2,127.06
  4. Step 4: Simplify right side
    2,964.60x = 8,692,555.07
  5. Step 5: Solve for x
    x = 8,692,555.07/2,964.60
  6. Step 6: Final answer
    x = 2,932.12

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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.