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Finding the Fourth Proportional to 2,153.99, 3,231.01 and 594.08

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Solution

The fourth proportional to 2,153.99, 3,231.01 and 594.08 is: 891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.99 : 3,231.01 = 594.08 : x
  2. Step 2: Convert to fraction form
    2,153.99/3,231.01 = 594.08/x
  3. Step 3: Cross multiply
    2,153.99x = 3,231.01 × 594.08
  4. Step 4: Simplify right side
    2,153.99x = 1,919,485.01
  5. Step 5: Solve for x
    x = 1,919,485.01/2,153.99
  6. Step 6: Final answer
    x = 891.13

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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.