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Finding the Fourth Proportional to 2,441.93, 3,662.85 and 593.06

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Solution

The fourth proportional to 2,441.93, 3,662.85 and 593.06 is: 889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.93 : 3,662.85 = 593.06 : x
  2. Step 2: Convert to fraction form
    2,441.93/3,662.85 = 593.06/x
  3. Step 3: Cross multiply
    2,441.93x = 3,662.85 × 593.06
  4. Step 4: Simplify right side
    2,441.93x = 2,172,271.51
  5. Step 5: Solve for x
    x = 2,172,271.51/2,441.93
  6. Step 6: Final answer
    x = 889.57

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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.