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Finding the Fourth Proportional to 2,609.44, 3,601.04 and 1,430.53

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Solution

The fourth proportional to 2,609.44, 3,601.04 and 1,430.53 is: 1,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.44 : 3,601.04 = 1,430.53 : x
  2. Step 2: Convert to fraction form
    2,609.44/3,601.04 = 1,430.53/x
  3. Step 3: Cross multiply
    2,609.44x = 3,601.04 × 1,430.53
  4. Step 4: Simplify right side
    2,609.44x = 5,151,379.60
  5. Step 5: Solve for x
    x = 5,151,379.60/2,609.44
  6. Step 6: Final answer
    x = 1,974.13

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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.