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Finding the Fourth Proportional to 2,263.16, 3,394.74 and 963.65

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Solution

The fourth proportional to 2,263.16, 3,394.74 and 963.65 is: 1,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.16 : 3,394.74 = 963.65 : x
  2. Step 2: Convert to fraction form
    2,263.16/3,394.74 = 963.65/x
  3. Step 3: Cross multiply
    2,263.16x = 3,394.74 × 963.65
  4. Step 4: Simplify right side
    2,263.16x = 3,271,341.20
  5. Step 5: Solve for x
    x = 3,271,341.20/2,263.16
  6. Step 6: Final answer
    x = 1,445.48

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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.