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Finding the Fourth Proportional to 2,099.24, 3,148.80 and 638.40

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Solution

The fourth proportional to 2,099.24, 3,148.80 and 638.40 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.24 : 3,148.80 = 638.40 : x
  2. Step 2: Convert to fraction form
    2,099.24/3,148.80 = 638.40/x
  3. Step 3: Cross multiply
    2,099.24x = 3,148.80 × 638.40
  4. Step 4: Simplify right side
    2,099.24x = 2,010,193.92
  5. Step 5: Solve for x
    x = 2,010,193.92/2,099.24
  6. Step 6: Final answer
    x = 957.58

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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.