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Finding the Fourth Proportional to 2,609.42, 3,601.08 and 1,430.57

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Solution

The fourth proportional to 2,609.42, 3,601.08 and 1,430.57 is: 1,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.42 : 3,601.08 = 1,430.57 : x
  2. Step 2: Convert to fraction form
    2,609.42/3,601.08 = 1,430.57/x
  3. Step 3: Cross multiply
    2,609.42x = 3,601.08 × 1,430.57
  4. Step 4: Simplify right side
    2,609.42x = 5,151,597.02
  5. Step 5: Solve for x
    x = 5,151,597.02/2,609.42
  6. Step 6: Final answer
    x = 1,974.23

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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.