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Finding the Fourth Proportional to 2,361.48, 3,254.76 and 1,770.99

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Solution

The fourth proportional to 2,361.48, 3,254.76 and 1,770.99 is: 2,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.48 : 3,254.76 = 1,770.99 : x
  2. Step 2: Convert to fraction form
    2,361.48/3,254.76 = 1,770.99/x
  3. Step 3: Cross multiply
    2,361.48x = 3,254.76 × 1,770.99
  4. Step 4: Simplify right side
    2,361.48x = 5,764,147.41
  5. Step 5: Solve for x
    x = 5,764,147.41/2,361.48
  6. Step 6: Final answer
    x = 2,440.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.