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Finding the Fourth Proportional to 2,600.16, 3,590.10 and 1,606.80

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Solution

The fourth proportional to 2,600.16, 3,590.10 and 1,606.80 is: 2,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.16 : 3,590.10 = 1,606.80 : x
  2. Step 2: Convert to fraction form
    2,600.16/3,590.10 = 1,606.80/x
  3. Step 3: Cross multiply
    2,600.16x = 3,590.10 × 1,606.80
  4. Step 4: Simplify right side
    2,600.16x = 5,768,572.68
  5. Step 5: Solve for x
    x = 5,768,572.68/2,600.16
  6. Step 6: Final answer
    x = 2,218.55

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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.