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Finding the Fourth Proportional to 6,678.60, 10,018.80 and 2,297.40

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Solution

The fourth proportional to 6,678.60, 10,018.80 and 2,297.40 is: 3,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.60 : 10,018.80 = 2,297.40 : x
  2. Step 2: Convert to fraction form
    6,678.60/10,018.80 = 2,297.40/x
  3. Step 3: Cross multiply
    6,678.60x = 10,018.80 × 2,297.40
  4. Step 4: Simplify right side
    6,678.60x = 23,017,191.12
  5. Step 5: Solve for x
    x = 23,017,191.12/6,678.60
  6. Step 6: Final answer
    x = 3,446.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.