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Finding the Fourth Proportional to 2,685.84, 4,028.46 and 837.02

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Solution

The fourth proportional to 2,685.84, 4,028.46 and 837.02 is: 1,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.84 : 4,028.46 = 837.02 : x
  2. Step 2: Convert to fraction form
    2,685.84/4,028.46 = 837.02/x
  3. Step 3: Cross multiply
    2,685.84x = 4,028.46 × 837.02
  4. Step 4: Simplify right side
    2,685.84x = 3,371,881.45
  5. Step 5: Solve for x
    x = 3,371,881.45/2,685.84
  6. Step 6: Final answer
    x = 1,255.43

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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.