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Finding the Fourth Proportional to 1,532.56, 2,114.94 and 833.94

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Solution

The fourth proportional to 1,532.56, 2,114.94 and 833.94 is: 1,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.56 : 2,114.94 = 833.94 : x
  2. Step 2: Convert to fraction form
    1,532.56/2,114.94 = 833.94/x
  3. Step 3: Cross multiply
    1,532.56x = 2,114.94 × 833.94
  4. Step 4: Simplify right side
    1,532.56x = 1,763,733.06
  5. Step 5: Solve for x
    x = 1,763,733.06/1,532.56
  6. Step 6: Final answer
    x = 1,150.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.