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Finding the Fourth Proportional to 2,054.52, 3,081.84 and 594

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Solution

The fourth proportional to 2,054.52, 3,081.84 and 594 is: 891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.52 : 3,081.84 = 594 : x
  2. Step 2: Convert to fraction form
    2,054.52/3,081.84 = 594/x
  3. Step 3: Cross multiply
    2,054.52x = 3,081.84 × 594
  4. Step 4: Simplify right side
    2,054.52x = 1,830,612.96
  5. Step 5: Solve for x
    x = 1,830,612.96/2,054.52
  6. Step 6: Final answer
    x = 891.02

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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.