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Finding the Fourth Proportional to 2,053.84, 3,080.78 and 593

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Solution

The fourth proportional to 2,053.84, 3,080.78 and 593 is: 889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.84 : 3,080.78 = 593 : x
  2. Step 2: Convert to fraction form
    2,053.84/3,080.78 = 593/x
  3. Step 3: Cross multiply
    2,053.84x = 3,080.78 × 593
  4. Step 4: Simplify right side
    2,053.84x = 1,826,902.54
  5. Step 5: Solve for x
    x = 1,826,902.54/2,053.84
  6. Step 6: Final answer
    x = 889.51

Related Problems

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Double scale
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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.