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Finding the Fourth Proportional to 1,590.92, 2,196.09 and 1,001.34

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Solution

The fourth proportional to 1,590.92, 2,196.09 and 1,001.34 is: 1,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.92 : 2,196.09 = 1,001.34 : x
  2. Step 2: Convert to fraction form
    1,590.92/2,196.09 = 1,001.34/x
  3. Step 3: Cross multiply
    1,590.92x = 2,196.09 × 1,001.34
  4. Step 4: Simplify right side
    1,590.92x = 2,199,023.77
  5. Step 5: Solve for x
    x = 2,199,023.77/1,590.92
  6. Step 6: Final answer
    x = 1,382.24

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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.