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Finding the Fourth Proportional to 2,321.68, 3,482.52 and 590.30

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Solution

The fourth proportional to 2,321.68, 3,482.52 and 590.30 is: 885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.68 : 3,482.52 = 590.30 : x
  2. Step 2: Convert to fraction form
    2,321.68/3,482.52 = 590.30/x
  3. Step 3: Cross multiply
    2,321.68x = 3,482.52 × 590.30
  4. Step 4: Simplify right side
    2,321.68x = 2,055,731.56
  5. Step 5: Solve for x
    x = 2,055,731.56/2,321.68
  6. Step 6: Final answer
    x = 885.45

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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.