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Finding the Fourth Proportional to 2,609.10, 3,600.48 and 1,430.13

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Solution

The fourth proportional to 2,609.10, 3,600.48 and 1,430.13 is: 1,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.10 : 3,600.48 = 1,430.13 : x
  2. Step 2: Convert to fraction form
    2,609.10/3,600.48 = 1,430.13/x
  3. Step 3: Cross multiply
    2,609.10x = 3,600.48 × 1,430.13
  4. Step 4: Simplify right side
    2,609.10x = 5,149,154.46
  5. Step 5: Solve for x
    x = 5,149,154.46/2,609.10
  6. Step 6: Final answer
    x = 1,973.54

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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.