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Finding the Fourth Proportional to 2,590.62, 3,884.35 and 1,165.60

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Solution

The fourth proportional to 2,590.62, 3,884.35 and 1,165.60 is: 1,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.62 : 3,884.35 = 1,165.60 : x
  2. Step 2: Convert to fraction form
    2,590.62/3,884.35 = 1,165.60/x
  3. Step 3: Cross multiply
    2,590.62x = 3,884.35 × 1,165.60
  4. Step 4: Simplify right side
    2,590.62x = 4,527,598.36
  5. Step 5: Solve for x
    x = 4,527,598.36/2,590.62
  6. Step 6: Final answer
    x = 1,747.69

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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.