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Finding the Fourth Proportional to 1,954.98, 2,700.27 and 1,582.38

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Solution

The fourth proportional to 1,954.98, 2,700.27 and 1,582.38 is: 2,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.98 : 2,700.27 = 1,582.38 : x
  2. Step 2: Convert to fraction form
    1,954.98/2,700.27 = 1,582.38/x
  3. Step 3: Cross multiply
    1,954.98x = 2,700.27 × 1,582.38
  4. Step 4: Simplify right side
    1,954.98x = 4,272,853.24
  5. Step 5: Solve for x
    x = 4,272,853.24/1,954.98
  6. Step 6: Final answer
    x = 2,185.63

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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.