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Finding the Fourth Proportional to 2,108.16, 2,910.08 and 1,280

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Solution

The fourth proportional to 2,108.16, 2,910.08 and 1,280 is: 1,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.16 : 2,910.08 = 1,280 : x
  2. Step 2: Convert to fraction form
    2,108.16/2,910.08 = 1,280/x
  3. Step 3: Cross multiply
    2,108.16x = 2,910.08 × 1,280
  4. Step 4: Simplify right side
    2,108.16x = 3,724,902.40
  5. Step 5: Solve for x
    x = 3,724,902.40/2,108.16
  6. Step 6: Final answer
    x = 1,766.90

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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.