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Finding the Fourth Proportional to 2,677.54, 4,017.84 and 1,444.92

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Solution

The fourth proportional to 2,677.54, 4,017.84 and 1,444.92 is: 2,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.54 : 4,017.84 = 1,444.92 : x
  2. Step 2: Convert to fraction form
    2,677.54/4,017.84 = 1,444.92/x
  3. Step 3: Cross multiply
    2,677.54x = 4,017.84 × 1,444.92
  4. Step 4: Simplify right side
    2,677.54x = 5,805,457.37
  5. Step 5: Solve for x
    x = 5,805,457.37/2,677.54
  6. Step 6: Final answer
    x = 2,168.21

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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.