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Finding the Fourth Proportional to 2,590.67, 3,884.78 and 1,356.84

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Solution

The fourth proportional to 2,590.67, 3,884.78 and 1,356.84 is: 2,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.67 : 3,884.78 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    2,590.67/3,884.78 = 1,356.84/x
  3. Step 3: Cross multiply
    2,590.67x = 3,884.78 × 1,356.84
  4. Step 4: Simplify right side
    2,590.67x = 5,271,024.90
  5. Step 5: Solve for x
    x = 5,271,024.90/2,590.67
  6. Step 6: Final answer
    x = 2,034.62

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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.