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Finding the Fourth Proportional to 2,681.84, 4,037.60 and 2,099.96

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Solution

The fourth proportional to 2,681.84, 4,037.60 and 2,099.96 is: 3,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.84 : 4,037.60 = 2,099.96 : x
  2. Step 2: Convert to fraction form
    2,681.84/4,037.60 = 2,099.96/x
  3. Step 3: Cross multiply
    2,681.84x = 4,037.60 × 2,099.96
  4. Step 4: Simplify right side
    2,681.84x = 8,478,798.50
  5. Step 5: Solve for x
    x = 8,478,798.50/2,681.84
  6. Step 6: Final answer
    x = 3,161.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.