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Finding the Fourth Proportional to 1,590.42, 2,194.74 and 891.84

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Solution

The fourth proportional to 1,590.42, 2,194.74 and 891.84 is: 1,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.42 : 2,194.74 = 891.84 : x
  2. Step 2: Convert to fraction form
    1,590.42/2,194.74 = 891.84/x
  3. Step 3: Cross multiply
    1,590.42x = 2,194.74 × 891.84
  4. Step 4: Simplify right side
    1,590.42x = 1,957,356.92
  5. Step 5: Solve for x
    x = 1,957,356.92/1,590.42
  6. Step 6: Final answer
    x = 1,230.72

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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.