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Finding the Fourth Proportional to 2,615.77, 3,609.69 and 1,436.84

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Solution

The fourth proportional to 2,615.77, 3,609.69 and 1,436.84 is: 1,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.77 : 3,609.69 = 1,436.84 : x
  2. Step 2: Convert to fraction form
    2,615.77/3,609.69 = 1,436.84/x
  3. Step 3: Cross multiply
    2,615.77x = 3,609.69 × 1,436.84
  4. Step 4: Simplify right side
    2,615.77x = 5,186,541.12
  5. Step 5: Solve for x
    x = 5,186,541.12/2,615.77
  6. Step 6: Final answer
    x = 1,982.80

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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.