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Finding the Fourth Proportional to 1,641.87, 2,466.45 and 1,590.03

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Solution

The fourth proportional to 1,641.87, 2,466.45 and 1,590.03 is: 2,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.87 : 2,466.45 = 1,590.03 : x
  2. Step 2: Convert to fraction form
    1,641.87/2,466.45 = 1,590.03/x
  3. Step 3: Cross multiply
    1,641.87x = 2,466.45 × 1,590.03
  4. Step 4: Simplify right side
    1,641.87x = 3,921,729.49
  5. Step 5: Solve for x
    x = 3,921,729.49/1,641.87
  6. Step 6: Final answer
    x = 2,388.57

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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.