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Finding the Fourth Proportional to 2,593.94, 3,885.74 and 1,205.40

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Solution

The fourth proportional to 2,593.94, 3,885.74 and 1,205.40 is: 1,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.94 : 3,885.74 = 1,205.40 : x
  2. Step 2: Convert to fraction form
    2,593.94/3,885.74 = 1,205.40/x
  3. Step 3: Cross multiply
    2,593.94x = 3,885.74 × 1,205.40
  4. Step 4: Simplify right side
    2,593.94x = 4,683,871.00
  5. Step 5: Solve for x
    x = 4,683,871.00/2,593.94
  6. Step 6: Final answer
    x = 1,805.70

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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.