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Finding the Fourth Proportional to 1,893.74, 2,615.02 and 1,831.76

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Solution

The fourth proportional to 1,893.74, 2,615.02 and 1,831.76 is: 2,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.74 : 2,615.02 = 1,831.76 : x
  2. Step 2: Convert to fraction form
    1,893.74/2,615.02 = 1,831.76/x
  3. Step 3: Cross multiply
    1,893.74x = 2,615.02 × 1,831.76
  4. Step 4: Simplify right side
    1,893.74x = 4,790,089.04
  5. Step 5: Solve for x
    x = 4,790,089.04/1,893.74
  6. Step 6: Final answer
    x = 2,529.43

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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.