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Finding the Fourth Proportional to 2,293.90, 3,440.80 and 734.00

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Solution

The fourth proportional to 2,293.90, 3,440.80 and 734.00 is: 1,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.90 : 3,440.80 = 734.00 : x
  2. Step 2: Convert to fraction form
    2,293.90/3,440.80 = 734.00/x
  3. Step 3: Cross multiply
    2,293.90x = 3,440.80 × 734.00
  4. Step 4: Simplify right side
    2,293.90x = 2,525,526.78
  5. Step 5: Solve for x
    x = 2,525,526.78/2,293.90
  6. Step 6: Final answer
    x = 1,100.97

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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.