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Finding the Fourth Proportional to 2,114.88, 3,172.32 and 746.88

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Solution

The fourth proportional to 2,114.88, 3,172.32 and 746.88 is: 1,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.88 : 3,172.32 = 746.88 : x
  2. Step 2: Convert to fraction form
    2,114.88/3,172.32 = 746.88/x
  3. Step 3: Cross multiply
    2,114.88x = 3,172.32 × 746.88
  4. Step 4: Simplify right side
    2,114.88x = 2,369,342.36
  5. Step 5: Solve for x
    x = 2,369,342.36/2,114.88
  6. Step 6: Final answer
    x = 1,120.32

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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.