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Finding the Fourth Proportional to 2,609.34, 3,600.90 and 1,430.46

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Solution

The fourth proportional to 2,609.34, 3,600.90 and 1,430.46 is: 1,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.34 : 3,600.90 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    2,609.34/3,600.90 = 1,430.46/x
  3. Step 3: Cross multiply
    2,609.34x = 3,600.90 × 1,430.46
  4. Step 4: Simplify right side
    2,609.34x = 5,150,943.41
  5. Step 5: Solve for x
    x = 5,150,943.41/2,609.34
  6. Step 6: Final answer
    x = 1,974.04

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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.