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Finding the Fourth Proportional to 2,503.60, 3,744.60 and 2,114.80

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Solution

The fourth proportional to 2,503.60, 3,744.60 and 2,114.80 is: 3,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.60 : 3,744.60 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    2,503.60/3,744.60 = 2,114.80/x
  3. Step 3: Cross multiply
    2,503.60x = 3,744.60 × 2,114.80
  4. Step 4: Simplify right side
    2,503.60x = 7,919,080.08
  5. Step 5: Solve for x
    x = 7,919,080.08/2,503.60
  6. Step 6: Final answer
    x = 3,163.08

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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.