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Finding the Fourth Proportional to 3,172.55, 4,759.07 and 981.27

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Solution

The fourth proportional to 3,172.55, 4,759.07 and 981.27 is: 1,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.55 : 4,759.07 = 981.27 : x
  2. Step 2: Convert to fraction form
    3,172.55/4,759.07 = 981.27/x
  3. Step 3: Cross multiply
    3,172.55x = 4,759.07 × 981.27
  4. Step 4: Simplify right side
    3,172.55x = 4,669,927.71
  5. Step 5: Solve for x
    x = 4,669,927.71/3,172.55
  6. Step 6: Final answer
    x = 1,471.98

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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.