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Finding the Fourth Proportional to 2,913.84, 4,014.82 and 1,980.72

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Solution

The fourth proportional to 2,913.84, 4,014.82 and 1,980.72 is: 2,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.84 : 4,014.82 = 1,980.72 : x
  2. Step 2: Convert to fraction form
    2,913.84/4,014.82 = 1,980.72/x
  3. Step 3: Cross multiply
    2,913.84x = 4,014.82 × 1,980.72
  4. Step 4: Simplify right side
    2,913.84x = 7,952,234.27
  5. Step 5: Solve for x
    x = 7,952,234.27/2,913.84
  6. Step 6: Final answer
    x = 2,729.13

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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.