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Finding the Fourth Proportional to 2,459.60, 3,696.60 and 2,142.80

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Solution

The fourth proportional to 2,459.60, 3,696.60 and 2,142.80 is: 3,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.60 : 3,696.60 = 2,142.80 : x
  2. Step 2: Convert to fraction form
    2,459.60/3,696.60 = 2,142.80/x
  3. Step 3: Cross multiply
    2,459.60x = 3,696.60 × 2,142.80
  4. Step 4: Simplify right side
    2,459.60x = 7,921,074.48
  5. Step 5: Solve for x
    x = 7,921,074.48/2,459.60
  6. Step 6: Final answer
    x = 3,220.47

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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.