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Finding the Fourth Proportional to 2,610.95, 3,604.94 and 1,823.63

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Solution

The fourth proportional to 2,610.95, 3,604.94 and 1,823.63 is: 2,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.95 : 3,604.94 = 1,823.63 : x
  2. Step 2: Convert to fraction form
    2,610.95/3,604.94 = 1,823.63/x
  3. Step 3: Cross multiply
    2,610.95x = 3,604.94 × 1,823.63
  4. Step 4: Simplify right side
    2,610.95x = 6,574,049.59
  5. Step 5: Solve for x
    x = 6,574,049.59/2,610.95
  6. Step 6: Final answer
    x = 2,517.88

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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.