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Finding the Fourth Proportional to 1,690.08, 2,534.41 and 593.95

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Solution

The fourth proportional to 1,690.08, 2,534.41 and 593.95 is: 890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.08 : 2,534.41 = 593.95 : x
  2. Step 2: Convert to fraction form
    1,690.08/2,534.41 = 593.95/x
  3. Step 3: Cross multiply
    1,690.08x = 2,534.41 × 593.95
  4. Step 4: Simplify right side
    1,690.08x = 1,505,308.64
  5. Step 5: Solve for x
    x = 1,505,308.64/1,690.08
  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.