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Finding the Fourth Proportional to 2,232, 3,348.41 and 1,411.29

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Solution

The fourth proportional to 2,232, 3,348.41 and 1,411.29 is: 2,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232 : 3,348.41 = 1,411.29 : x
  2. Step 2: Convert to fraction form
    2,232/3,348.41 = 1,411.29/x
  3. Step 3: Cross multiply
    2,232x = 3,348.41 × 1,411.29
  4. Step 4: Simplify right side
    2,232x = 4,725,570.49
  5. Step 5: Solve for x
    x = 4,725,570.49/2,232
  6. Step 6: Final answer
    x = 2,117.19

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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.