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Finding the Fourth Proportional to 2,931, 4,044.80 and 2,185.62

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Solution

The fourth proportional to 2,931, 4,044.80 and 2,185.62 is: 3,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,044.80 = 2,185.62 : x
  2. Step 2: Convert to fraction form
    2,931/4,044.80 = 2,185.62/x
  3. Step 3: Cross multiply
    2,931x = 4,044.80 × 2,185.62
  4. Step 4: Simplify right side
    2,931x = 8,840,384.85
  5. Step 5: Solve for x
    x = 8,840,384.85/2,931
  6. Step 6: Final answer
    x = 3,016.17

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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.