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Finding the Fourth Proportional to 2,097.23, 3,145.85 and 558.23

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Solution

The fourth proportional to 2,097.23, 3,145.85 and 558.23 is: 837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.23 : 3,145.85 = 558.23 : x
  2. Step 2: Convert to fraction form
    2,097.23/3,145.85 = 558.23/x
  3. Step 3: Cross multiply
    2,097.23x = 3,145.85 × 558.23
  4. Step 4: Simplify right side
    2,097.23x = 1,756,122.48
  5. Step 5: Solve for x
    x = 1,756,122.48/2,097.23
  6. Step 6: Final answer
    x = 837.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.