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Finding the Fourth Proportional to 2,154.11, 3,230.56 and 593.74

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Solution

The fourth proportional to 2,154.11, 3,230.56 and 593.74 is: 890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.11 : 3,230.56 = 593.74 : x
  2. Step 2: Convert to fraction form
    2,154.11/3,230.56 = 593.74/x
  3. Step 3: Cross multiply
    2,154.11x = 3,230.56 × 593.74
  4. Step 4: Simplify right side
    2,154.11x = 1,918,117.47
  5. Step 5: Solve for x
    x = 1,918,117.47/2,154.11
  6. Step 6: Final answer
    x = 890.45

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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.