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Finding the Fourth Proportional to 3,172.50, 4,759.20 and 981.25

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Solution

The fourth proportional to 3,172.50, 4,759.20 and 981.25 is: 1,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.50 : 4,759.20 = 981.25 : x
  2. Step 2: Convert to fraction form
    3,172.50/4,759.20 = 981.25/x
  3. Step 3: Cross multiply
    3,172.50x = 4,759.20 × 981.25
  4. Step 4: Simplify right side
    3,172.50x = 4,669,953.10
  5. Step 5: Solve for x
    x = 4,669,953.10/3,172.50
  6. Step 6: Final answer
    x = 1,472.01

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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.