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Finding the Fourth Proportional to 3,098.24, 4,640.04 and 2,444.60

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Solution

The fourth proportional to 3,098.24, 4,640.04 and 2,444.60 is: 3,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.24 : 4,640.04 = 2,444.60 : x
  2. Step 2: Convert to fraction form
    3,098.24/4,640.04 = 2,444.60/x
  3. Step 3: Cross multiply
    3,098.24x = 4,640.04 × 2,444.60
  4. Step 4: Simplify right side
    3,098.24x = 11,343,041.78
  5. Step 5: Solve for x
    x = 11,343,041.78/3,098.24
  6. Step 6: Final answer
    x = 3,661.12

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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.