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Finding the Fourth Proportional to 2,370.88, 3,532.61 and 2,112.22

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Solution

The fourth proportional to 2,370.88, 3,532.61 and 2,112.22 is: 3,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.88 : 3,532.61 = 2,112.22 : x
  2. Step 2: Convert to fraction form
    2,370.88/3,532.61 = 2,112.22/x
  3. Step 3: Cross multiply
    2,370.88x = 3,532.61 × 2,112.22
  4. Step 4: Simplify right side
    2,370.88x = 7,461,649.49
  5. Step 5: Solve for x
    x = 7,461,649.49/2,370.88
  6. Step 6: Final answer
    x = 3,147.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.