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Finding the Fourth Proportional to 3,102.89, 4,280.90 and 1,984.47

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Solution

The fourth proportional to 3,102.89, 4,280.90 and 1,984.47 is: 2,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.89 : 4,280.90 = 1,984.47 : x
  2. Step 2: Convert to fraction form
    3,102.89/4,280.90 = 1,984.47/x
  3. Step 3: Cross multiply
    3,102.89x = 4,280.90 × 1,984.47
  4. Step 4: Simplify right side
    3,102.89x = 8,495,307.70
  5. Step 5: Solve for x
    x = 8,495,307.70/3,102.89
  6. Step 6: Final answer
    x = 2,737.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.