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Finding the Fourth Proportional to 2,321.77, 3,482.57 and 590.44

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Solution

The fourth proportional to 2,321.77, 3,482.57 and 590.44 is: 885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.77 : 3,482.57 = 590.44 : x
  2. Step 2: Convert to fraction form
    2,321.77/3,482.57 = 590.44/x
  3. Step 3: Cross multiply
    2,321.77x = 3,482.57 × 590.44
  4. Step 4: Simplify right side
    2,321.77x = 2,056,245.68
  5. Step 5: Solve for x
    x = 2,056,245.68/2,321.77
  6. Step 6: Final answer
    x = 885.64

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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.