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Finding the Fourth Proportional to 2,097.59, 3,146.36 and 558.59

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Solution

The fourth proportional to 2,097.59, 3,146.36 and 558.59 is: 837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.59 : 3,146.36 = 558.59 : x
  2. Step 2: Convert to fraction form
    2,097.59/3,146.36 = 558.59/x
  3. Step 3: Cross multiply
    2,097.59x = 3,146.36 × 558.59
  4. Step 4: Simplify right side
    2,097.59x = 1,757,506.71
  5. Step 5: Solve for x
    x = 1,757,506.71/2,097.59
  6. Step 6: Final answer
    x = 837.87

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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.