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Finding the Fourth Proportional to 2,325.14, 3,487.89 and 593.75

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Solution

The fourth proportional to 2,325.14, 3,487.89 and 593.75 is: 890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.14 : 3,487.89 = 593.75 : x
  2. Step 2: Convert to fraction form
    2,325.14/3,487.89 = 593.75/x
  3. Step 3: Cross multiply
    2,325.14x = 3,487.89 × 593.75
  4. Step 4: Simplify right side
    2,325.14x = 2,070,934.69
  5. Step 5: Solve for x
    x = 2,070,934.69/2,325.14
  6. Step 6: Final answer
    x = 890.67

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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.