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Finding the Fourth Proportional to 3,175.84, 4,763.70 and 984.31

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Solution

The fourth proportional to 3,175.84, 4,763.70 and 984.31 is: 1,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.84 : 4,763.70 = 984.31 : x
  2. Step 2: Convert to fraction form
    3,175.84/4,763.70 = 984.31/x
  3. Step 3: Cross multiply
    3,175.84x = 4,763.70 × 984.31
  4. Step 4: Simplify right side
    3,175.84x = 4,688,957.55
  5. Step 5: Solve for x
    x = 4,688,957.55/3,175.84
  6. Step 6: Final answer
    x = 1,476.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.