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Finding the Fourth Proportional to 2,128.74, 2,937.49 and 1,184.41

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Solution

The fourth proportional to 2,128.74, 2,937.49 and 1,184.41 is: 1,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.74 : 2,937.49 = 1,184.41 : x
  2. Step 2: Convert to fraction form
    2,128.74/2,937.49 = 1,184.41/x
  3. Step 3: Cross multiply
    2,128.74x = 2,937.49 × 1,184.41
  4. Step 4: Simplify right side
    2,128.74x = 3,479,192.53
  5. Step 5: Solve for x
    x = 3,479,192.53/2,128.74
  6. Step 6: Final answer
    x = 1,634.39

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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.