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Finding the Fourth Proportional to 2,130.57, 2,940.39 and 1,291.48

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Solution

The fourth proportional to 2,130.57, 2,940.39 and 1,291.48 is: 1,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.57 : 2,940.39 = 1,291.48 : x
  2. Step 2: Convert to fraction form
    2,130.57/2,940.39 = 1,291.48/x
  3. Step 3: Cross multiply
    2,130.57x = 2,940.39 × 1,291.48
  4. Step 4: Simplify right side
    2,130.57x = 3,797,454.88
  5. Step 5: Solve for x
    x = 3,797,454.88/2,130.57
  6. Step 6: Final answer
    x = 1,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.