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Finding the Fourth Proportional to 4,044.64, 6,072.40 and 2,098.40

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Solution

The fourth proportional to 4,044.64, 6,072.40 and 2,098.40 is: 3,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.64 : 6,072.40 = 2,098.40 : x
  2. Step 2: Convert to fraction form
    4,044.64/6,072.40 = 2,098.40/x
  3. Step 3: Cross multiply
    4,044.64x = 6,072.40 × 2,098.40
  4. Step 4: Simplify right side
    4,044.64x = 12,742,324.16
  5. Step 5: Solve for x
    x = 12,742,324.16/4,044.64
  6. Step 6: Final answer
    x = 3,150.42

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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.