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Finding the Fourth Proportional to 2,097.04, 3,145.56 and 558

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Solution

The fourth proportional to 2,097.04, 3,145.56 and 558 is: 837

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.04 : 3,145.56 = 558 : x
  2. Step 2: Convert to fraction form
    2,097.04/3,145.56 = 558/x
  3. Step 3: Cross multiply
    2,097.04x = 3,145.56 × 558
  4. Step 4: Simplify right side
    2,097.04x = 1,755,222.48
  5. Step 5: Solve for x
    x = 1,755,222.48/2,097.04
  6. Step 6: Final answer
    x = 837

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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.