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Finding the Fourth Proportional to 1,590.61, 2,194.84 and 927.30

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Solution

The fourth proportional to 1,590.61, 2,194.84 and 927.30 is: 1,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.61 : 2,194.84 = 927.30 : x
  2. Step 2: Convert to fraction form
    1,590.61/2,194.84 = 927.30/x
  3. Step 3: Cross multiply
    1,590.61x = 2,194.84 × 927.30
  4. Step 4: Simplify right side
    1,590.61x = 2,035,269.64
  5. Step 5: Solve for x
    x = 2,035,269.64/1,590.61
  6. Step 6: Final answer
    x = 1,279.55

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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.