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Finding the Fourth Proportional to 3,101.84, 4,650.29 and 1,127.16

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Solution

The fourth proportional to 3,101.84, 4,650.29 and 1,127.16 is: 1,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.84 : 4,650.29 = 1,127.16 : x
  2. Step 2: Convert to fraction form
    3,101.84/4,650.29 = 1,127.16/x
  3. Step 3: Cross multiply
    3,101.84x = 4,650.29 × 1,127.16
  4. Step 4: Simplify right side
    3,101.84x = 5,241,620.88
  5. Step 5: Solve for x
    x = 5,241,620.88/3,101.84
  6. Step 6: Final answer
    x = 1,689.84

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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.