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Finding the Fourth Proportional to 2,393.76, 3,590.93 and 833.63

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Solution

The fourth proportional to 2,393.76, 3,590.93 and 833.63 is: 1,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.76 : 3,590.93 = 833.63 : x
  2. Step 2: Convert to fraction form
    2,393.76/3,590.93 = 833.63/x
  3. Step 3: Cross multiply
    2,393.76x = 3,590.93 × 833.63
  4. Step 4: Simplify right side
    2,393.76x = 2,993,484.85
  5. Step 5: Solve for x
    x = 2,993,484.85/2,393.76
  6. Step 6: Final answer
    x = 1,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.