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Finding the Fourth Proportional to 3,175.42, 4,762.95 and 984.10

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Solution

The fourth proportional to 3,175.42, 4,762.95 and 984.10 is: 1,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.42 : 4,762.95 = 984.10 : x
  2. Step 2: Convert to fraction form
    3,175.42/4,762.95 = 984.10/x
  3. Step 3: Cross multiply
    3,175.42x = 4,762.95 × 984.10
  4. Step 4: Simplify right side
    3,175.42x = 4,687,219.10
  5. Step 5: Solve for x
    x = 4,687,219.10/3,175.42
  6. Step 6: Final answer
    x = 1,476.09

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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.