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Finding the Fourth Proportional to 2,644.13, 3,966.71 and 1,259.02

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Solution

The fourth proportional to 2,644.13, 3,966.71 and 1,259.02 is: 1,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.13 : 3,966.71 = 1,259.02 : x
  2. Step 2: Convert to fraction form
    2,644.13/3,966.71 = 1,259.02/x
  3. Step 3: Cross multiply
    2,644.13x = 3,966.71 × 1,259.02
  4. Step 4: Simplify right side
    2,644.13x = 4,994,172.29
  5. Step 5: Solve for x
    x = 4,994,172.29/2,644.13
  6. Step 6: Final answer
    x = 1,888.77

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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.