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Finding the Fourth Proportional to 3,098.21, 4,648.08 and 1,538.95

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Solution

The fourth proportional to 3,098.21, 4,648.08 and 1,538.95 is: 2,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.21 : 4,648.08 = 1,538.95 : x
  2. Step 2: Convert to fraction form
    3,098.21/4,648.08 = 1,538.95/x
  3. Step 3: Cross multiply
    3,098.21x = 4,648.08 × 1,538.95
  4. Step 4: Simplify right side
    3,098.21x = 7,153,162.72
  5. Step 5: Solve for x
    x = 7,153,162.72/3,098.21
  6. Step 6: Final answer
    x = 2,308.80

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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.