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Finding the Fourth Proportional to 2,590.46, 3,884.40 and 1,109.46

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Solution

The fourth proportional to 2,590.46, 3,884.40 and 1,109.46 is: 1,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.46 : 3,884.40 = 1,109.46 : x
  2. Step 2: Convert to fraction form
    2,590.46/3,884.40 = 1,109.46/x
  3. Step 3: Cross multiply
    2,590.46x = 3,884.40 × 1,109.46
  4. Step 4: Simplify right side
    2,590.46x = 4,309,586.42
  5. Step 5: Solve for x
    x = 4,309,586.42/2,590.46
  6. Step 6: Final answer
    x = 1,663.64

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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.