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Finding the Fourth Proportional to 2,665.91, 3,679.64 and 1,590.35

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Solution

The fourth proportional to 2,665.91, 3,679.64 and 1,590.35 is: 2,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.91 : 3,679.64 = 1,590.35 : x
  2. Step 2: Convert to fraction form
    2,665.91/3,679.64 = 1,590.35/x
  3. Step 3: Cross multiply
    2,665.91x = 3,679.64 × 1,590.35
  4. Step 4: Simplify right side
    2,665.91x = 5,851,895.09
  5. Step 5: Solve for x
    x = 5,851,895.09/2,665.91
  6. Step 6: Final answer
    x = 2,195.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.