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Finding the Fourth Proportional to 1,590.31, 2,194.26 and 1,001.62

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Solution

The fourth proportional to 1,590.31, 2,194.26 and 1,001.62 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.31 : 2,194.26 = 1,001.62 : x
  2. Step 2: Convert to fraction form
    1,590.31/2,194.26 = 1,001.62/x
  3. Step 3: Cross multiply
    1,590.31x = 2,194.26 × 1,001.62
  4. Step 4: Simplify right side
    1,590.31x = 2,197,814.70
  5. Step 5: Solve for x
    x = 2,197,814.70/1,590.31
  6. Step 6: Final answer
    x = 1,382.00

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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.