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Finding the Fourth Proportional to 2,380.08, 3,570.12 and 840

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Solution

The fourth proportional to 2,380.08, 3,570.12 and 840 is: 1,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.08 : 3,570.12 = 840 : x
  2. Step 2: Convert to fraction form
    2,380.08/3,570.12 = 840/x
  3. Step 3: Cross multiply
    2,380.08x = 3,570.12 × 840
  4. Step 4: Simplify right side
    2,380.08x = 2,998,900.80
  5. Step 5: Solve for x
    x = 2,998,900.80/2,380.08
  6. Step 6: Final answer
    x = 1,260

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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.