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Finding the Fourth Proportional to 2,033.84, 3,051.41 and 937.58

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Solution

The fourth proportional to 2,033.84, 3,051.41 and 937.58 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.84 : 3,051.41 = 937.58 : x
  2. Step 2: Convert to fraction form
    2,033.84/3,051.41 = 937.58/x
  3. Step 3: Cross multiply
    2,033.84x = 3,051.41 × 937.58
  4. Step 4: Simplify right side
    2,033.84x = 2,860,921.04
  5. Step 5: Solve for x
    x = 2,860,921.04/2,033.84
  6. Step 6: Final answer
    x = 1,406.66

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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.