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Finding the Fourth Proportional to 2,636.34, 3,954.48 and 1,077.18

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Solution

The fourth proportional to 2,636.34, 3,954.48 and 1,077.18 is: 1,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.34 : 3,954.48 = 1,077.18 : x
  2. Step 2: Convert to fraction form
    2,636.34/3,954.48 = 1,077.18/x
  3. Step 3: Cross multiply
    2,636.34x = 3,954.48 × 1,077.18
  4. Step 4: Simplify right side
    2,636.34x = 4,259,686.77
  5. Step 5: Solve for x
    x = 4,259,686.77/2,636.34
  6. Step 6: Final answer
    x = 1,615.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.