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Finding the Fourth Proportional to 2,054.98, 3,083.02 and 594.24

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Solution

The fourth proportional to 2,054.98, 3,083.02 and 594.24 is: 891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.98 : 3,083.02 = 594.24 : x
  2. Step 2: Convert to fraction form
    2,054.98/3,083.02 = 594.24/x
  3. Step 3: Cross multiply
    2,054.98x = 3,083.02 × 594.24
  4. Step 4: Simplify right side
    2,054.98x = 1,832,053.80
  5. Step 5: Solve for x
    x = 1,832,053.80/2,054.98
  6. Step 6: Final answer
    x = 891.52

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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.