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Finding the Fourth Proportional to 2,647.80, 3,663.18 and 2,590.20

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Solution

The fourth proportional to 2,647.80, 3,663.18 and 2,590.20 is: 3,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.80 : 3,663.18 = 2,590.20 : x
  2. Step 2: Convert to fraction form
    2,647.80/3,663.18 = 2,590.20/x
  3. Step 3: Cross multiply
    2,647.80x = 3,663.18 × 2,590.20
  4. Step 4: Simplify right side
    2,647.80x = 9,488,368.84
  5. Step 5: Solve for x
    x = 9,488,368.84/2,647.80
  6. Step 6: Final answer
    x = 3,583.49

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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.