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Finding the Fourth Proportional to 2,600.52, 3,590.36 and 2,004.26

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Solution

The fourth proportional to 2,600.52, 3,590.36 and 2,004.26 is: 2,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.52 : 3,590.36 = 2,004.26 : x
  2. Step 2: Convert to fraction form
    2,600.52/3,590.36 = 2,004.26/x
  3. Step 3: Cross multiply
    2,600.52x = 3,590.36 × 2,004.26
  4. Step 4: Simplify right side
    2,600.52x = 7,195,994.48
  5. Step 5: Solve for x
    x = 7,195,994.48/2,600.52
  6. Step 6: Final answer
    x = 2,767.14

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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.