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Finding the Fourth Proportional to 2,144.94, 3,217.14 and 585.06

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Solution

The fourth proportional to 2,144.94, 3,217.14 and 585.06 is: 877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.94 : 3,217.14 = 585.06 : x
  2. Step 2: Convert to fraction form
    2,144.94/3,217.14 = 585.06/x
  3. Step 3: Cross multiply
    2,144.94x = 3,217.14 × 585.06
  4. Step 4: Simplify right side
    2,144.94x = 1,882,219.93
  5. Step 5: Solve for x
    x = 1,882,219.93/2,144.94
  6. Step 6: Final answer
    x = 877.52

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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.