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Finding the Fourth Proportional to 2,314.26, 3,471.42 and 582.96

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Solution

The fourth proportional to 2,314.26, 3,471.42 and 582.96 is: 874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.26 : 3,471.42 = 582.96 : x
  2. Step 2: Convert to fraction form
    2,314.26/3,471.42 = 582.96/x
  3. Step 3: Cross multiply
    2,314.26x = 3,471.42 × 582.96
  4. Step 4: Simplify right side
    2,314.26x = 2,023,699.00
  5. Step 5: Solve for x
    x = 2,023,699.00/2,314.26
  6. Step 6: Final answer
    x = 874.45

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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.