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Finding the Fourth Proportional to 2,609.77, 3,601.57 and 1,430.84

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Solution

The fourth proportional to 2,609.77, 3,601.57 and 1,430.84 is: 1,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.77 : 3,601.57 = 1,430.84 : x
  2. Step 2: Convert to fraction form
    2,609.77/3,601.57 = 1,430.84/x
  3. Step 3: Cross multiply
    2,609.77x = 3,601.57 × 1,430.84
  4. Step 4: Simplify right side
    2,609.77x = 5,153,270.42
  5. Step 5: Solve for x
    x = 5,153,270.42/2,609.77
  6. Step 6: Final answer
    x = 1,974.61

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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.