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Finding the Fourth Proportional to 1,931.22, 2,892.93 and 889.77

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Solution

The fourth proportional to 1,931.22, 2,892.93 and 889.77 is: 1,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.22 : 2,892.93 = 889.77 : x
  2. Step 2: Convert to fraction form
    1,931.22/2,892.93 = 889.77/x
  3. Step 3: Cross multiply
    1,931.22x = 2,892.93 × 889.77
  4. Step 4: Simplify right side
    1,931.22x = 2,574,042.33
  5. Step 5: Solve for x
    x = 2,574,042.33/1,931.22
  6. Step 6: Final answer
    x = 1,332.86

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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.