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Finding the Fourth Proportional to 1,969.59, 2,954.84 and 582.96

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Solution

The fourth proportional to 1,969.59, 2,954.84 and 582.96 is: 874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.59 : 2,954.84 = 582.96 : x
  2. Step 2: Convert to fraction form
    1,969.59/2,954.84 = 582.96/x
  3. Step 3: Cross multiply
    1,969.59x = 2,954.84 × 582.96
  4. Step 4: Simplify right side
    1,969.59x = 1,722,550.61
  5. Step 5: Solve for x
    x = 1,722,550.61/1,969.59
  6. Step 6: Final answer
    x = 874.57

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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.