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Finding the Fourth Proportional to 2,293.54, 3,440.34 and 650.14

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Solution

The fourth proportional to 2,293.54, 3,440.34 and 650.14 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.54 : 3,440.34 = 650.14 : x
  2. Step 2: Convert to fraction form
    2,293.54/3,440.34 = 650.14/x
  3. Step 3: Cross multiply
    2,293.54x = 3,440.34 × 650.14
  4. Step 4: Simplify right side
    2,293.54x = 2,236,702.65
  5. Step 5: Solve for x
    x = 2,236,702.65/2,293.54
  6. Step 6: Final answer
    x = 975.22

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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.