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Finding the Fourth Proportional to 3,315.84, 4,576.05 and 1,824.07

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Solution

The fourth proportional to 3,315.84, 4,576.05 and 1,824.07 is: 2,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.84 : 4,576.05 = 1,824.07 : x
  2. Step 2: Convert to fraction form
    3,315.84/4,576.05 = 1,824.07/x
  3. Step 3: Cross multiply
    3,315.84x = 4,576.05 × 1,824.07
  4. Step 4: Simplify right side
    3,315.84x = 8,347,003.52
  5. Step 5: Solve for x
    x = 8,347,003.52/3,315.84
  6. Step 6: Final answer
    x = 2,517.31

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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.