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Finding the Fourth Proportional to 2,124.53, 3,187.25 and 891.23

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Solution

The fourth proportional to 2,124.53, 3,187.25 and 891.23 is: 1,337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.53 : 3,187.25 = 891.23 : x
  2. Step 2: Convert to fraction form
    2,124.53/3,187.25 = 891.23/x
  3. Step 3: Cross multiply
    2,124.53x = 3,187.25 × 891.23
  4. Step 4: Simplify right side
    2,124.53x = 2,840,552.43
  5. Step 5: Solve for x
    x = 2,840,552.43/2,124.53
  6. Step 6: Final answer
    x = 1,337.03

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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.