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Finding the Fourth Proportional to 2,762.25, 4,143.83 and 913.47

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Solution

The fourth proportional to 2,762.25, 4,143.83 and 913.47 is: 1,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.25 : 4,143.83 = 913.47 : x
  2. Step 2: Convert to fraction form
    2,762.25/4,143.83 = 913.47/x
  3. Step 3: Cross multiply
    2,762.25x = 4,143.83 × 913.47
  4. Step 4: Simplify right side
    2,762.25x = 3,785,264.39
  5. Step 5: Solve for x
    x = 3,785,264.39/2,762.25
  6. Step 6: Final answer
    x = 1,370.36

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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.