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Finding the Fourth Proportional to 2,141.66, 2,954.66 and 1,583.48

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Solution

The fourth proportional to 2,141.66, 2,954.66 and 1,583.48 is: 2,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.66 : 2,954.66 = 1,583.48 : x
  2. Step 2: Convert to fraction form
    2,141.66/2,954.66 = 1,583.48/x
  3. Step 3: Cross multiply
    2,141.66x = 2,954.66 × 1,583.48
  4. Step 4: Simplify right side
    2,141.66x = 4,678,645.02
  5. Step 5: Solve for x
    x = 4,678,645.02/2,141.66
  6. Step 6: Final answer
    x = 2,184.59

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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.