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Finding the Fourth Proportional to 3,176.31, 4,763.56 and 984.45

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Solution

The fourth proportional to 3,176.31, 4,763.56 and 984.45 is: 1,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.31 : 4,763.56 = 984.45 : x
  2. Step 2: Convert to fraction form
    3,176.31/4,763.56 = 984.45/x
  3. Step 3: Cross multiply
    3,176.31x = 4,763.56 × 984.45
  4. Step 4: Simplify right side
    3,176.31x = 4,689,503.89
  5. Step 5: Solve for x
    x = 4,689,503.89/3,176.31
  6. Step 6: Final answer
    x = 1,476.40

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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.