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Finding the Fourth Proportional to 2,647.60, 3,646.29 and 2,590.20

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Solution

The fourth proportional to 2,647.60, 3,646.29 and 2,590.20 is: 3,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.60 : 3,646.29 = 2,590.20 : x
  2. Step 2: Convert to fraction form
    2,647.60/3,646.29 = 2,590.20/x
  3. Step 3: Cross multiply
    2,647.60x = 3,646.29 × 2,590.20
  4. Step 4: Simplify right side
    2,647.60x = 9,444,629.47
  5. Step 5: Solve for x
    x = 9,444,629.47/2,647.60
  6. Step 6: Final answer
    x = 3,567.24

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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.