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Finding the Fourth Proportional to 3,101.84, 4,652.21 and 1,127.06

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Solution

The fourth proportional to 3,101.84, 4,652.21 and 1,127.06 is: 1,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.84 : 4,652.21 = 1,127.06 : x
  2. Step 2: Convert to fraction form
    3,101.84/4,652.21 = 1,127.06/x
  3. Step 3: Cross multiply
    3,101.84x = 4,652.21 × 1,127.06
  4. Step 4: Simplify right side
    3,101.84x = 5,243,299.36
  5. Step 5: Solve for x
    x = 5,243,299.36/3,101.84
  6. Step 6: Final answer
    x = 1,690.39

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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.