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Finding the Fourth Proportional to 4,280, 6,409.68 and 2,083.28

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Solution

The fourth proportional to 4,280, 6,409.68 and 2,083.28 is: 3,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280 : 6,409.68 = 2,083.28 : x
  2. Step 2: Convert to fraction form
    4,280/6,409.68 = 2,083.28/x
  3. Step 3: Cross multiply
    4,280x = 6,409.68 × 2,083.28
  4. Step 4: Simplify right side
    4,280x = 13,353,158.15
  5. Step 5: Solve for x
    x = 13,353,158.15/4,280
  6. Step 6: Final answer
    x = 3,119.90

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Why These Related Problems?

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