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Finding the Fourth Proportional to 2,609.64, 3,601.25 and 1,430.68

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Solution

The fourth proportional to 2,609.64, 3,601.25 and 1,430.68 is: 1,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,601.25 = 1,430.68 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,601.25 = 1,430.68/x
  3. Step 3: Cross multiply
    2,609.64x = 3,601.25 × 1,430.68
  4. Step 4: Simplify right side
    2,609.64x = 5,152,236.35
  5. Step 5: Solve for x
    x = 5,152,236.35/2,609.64
  6. Step 6: Final answer
    x = 1,974.31

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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.