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Finding the Fourth Proportional to 2,393.23, 3,590.05 and 661.85

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Solution

The fourth proportional to 2,393.23, 3,590.05 and 661.85 is: 992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.23 : 3,590.05 = 661.85 : x
  2. Step 2: Convert to fraction form
    2,393.23/3,590.05 = 661.85/x
  3. Step 3: Cross multiply
    2,393.23x = 3,590.05 × 661.85
  4. Step 4: Simplify right side
    2,393.23x = 2,376,074.59
  5. Step 5: Solve for x
    x = 2,376,074.59/2,393.23
  6. Step 6: Final answer
    x = 992.83

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