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Finding the Fourth Proportional to 2,114.69, 3,172.43 and 653.58

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Solution

The fourth proportional to 2,114.69, 3,172.43 and 653.58 is: 980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.69 : 3,172.43 = 653.58 : x
  2. Step 2: Convert to fraction form
    2,114.69/3,172.43 = 653.58/x
  3. Step 3: Cross multiply
    2,114.69x = 3,172.43 × 653.58
  4. Step 4: Simplify right side
    2,114.69x = 2,073,438.43
  5. Step 5: Solve for x
    x = 2,073,438.43/2,114.69
  6. Step 6: Final answer
    x = 980.50

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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.