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Finding the Fourth Proportional to 1,644.31, 2,269.77 and 1,014.94

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Solution

The fourth proportional to 1,644.31, 2,269.77 and 1,014.94 is: 1,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.31 : 2,269.77 = 1,014.94 : x
  2. Step 2: Convert to fraction form
    1,644.31/2,269.77 = 1,014.94/x
  3. Step 3: Cross multiply
    1,644.31x = 2,269.77 × 1,014.94
  4. Step 4: Simplify right side
    1,644.31x = 2,303,678.50
  5. Step 5: Solve for x
    x = 2,303,678.50/1,644.31
  6. Step 6: Final answer
    x = 1,401.00

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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.