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Finding the Fourth Proportional to 2,308.34, 3,178.16 and 2,013.50

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Solution

The fourth proportional to 2,308.34, 3,178.16 and 2,013.50 is: 2,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.34 : 3,178.16 = 2,013.50 : x
  2. Step 2: Convert to fraction form
    2,308.34/3,178.16 = 2,013.50/x
  3. Step 3: Cross multiply
    2,308.34x = 3,178.16 × 2,013.50
  4. Step 4: Simplify right side
    2,308.34x = 6,399,199.20
  5. Step 5: Solve for x
    x = 6,399,199.20/2,308.34
  6. Step 6: Final answer
    x = 2,772.21

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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.