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Finding the Fourth Proportional to 2,134.10, 3,200.06 and 963.10

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Solution

The fourth proportional to 2,134.10, 3,200.06 and 963.10 is: 1,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.10 : 3,200.06 = 963.10 : x
  2. Step 2: Convert to fraction form
    2,134.10/3,200.06 = 963.10/x
  3. Step 3: Cross multiply
    2,134.10x = 3,200.06 × 963.10
  4. Step 4: Simplify right side
    2,134.10x = 3,081,977.79
  5. Step 5: Solve for x
    x = 3,081,977.79/2,134.10
  6. Step 6: Final answer
    x = 1,444.16

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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.