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Finding the Fourth Proportional to 2,098.76, 3,148.22 and 538.81

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Solution

The fourth proportional to 2,098.76, 3,148.22 and 538.81 is: 808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.76 : 3,148.22 = 538.81 : x
  2. Step 2: Convert to fraction form
    2,098.76/3,148.22 = 538.81/x
  3. Step 3: Cross multiply
    2,098.76x = 3,148.22 × 538.81
  4. Step 4: Simplify right side
    2,098.76x = 1,696,289.72
  5. Step 5: Solve for x
    x = 1,696,289.72/2,098.76
  6. Step 6: Final answer
    x = 808.24

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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.