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Finding the Fourth Proportional to 2,054.40, 3,081.10 and 593.40

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Solution

The fourth proportional to 2,054.40, 3,081.10 and 593.40 is: 889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.40 : 3,081.10 = 593.40 : x
  2. Step 2: Convert to fraction form
    2,054.40/3,081.10 = 593.40/x
  3. Step 3: Cross multiply
    2,054.40x = 3,081.10 × 593.40
  4. Step 4: Simplify right side
    2,054.40x = 1,828,324.74
  5. Step 5: Solve for x
    x = 1,828,324.74/2,054.40
  6. Step 6: Final answer
    x = 889.96

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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.