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Finding the Fourth Proportional to 2,108.63, 3,160.22 and 1,458

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Solution

The fourth proportional to 2,108.63, 3,160.22 and 1,458 is: 2,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.63 : 3,160.22 = 1,458 : x
  2. Step 2: Convert to fraction form
    2,108.63/3,160.22 = 1,458/x
  3. Step 3: Cross multiply
    2,108.63x = 3,160.22 × 1,458
  4. Step 4: Simplify right side
    2,108.63x = 4,607,593.47
  5. Step 5: Solve for x
    x = 4,607,593.47/2,108.63
  6. Step 6: Final answer
    x = 2,185.11

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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.