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Finding the Fourth Proportional to 2,759.77, 4,137.02 and 1,457.29

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Solution

The fourth proportional to 2,759.77, 4,137.02 and 1,457.29 is: 2,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.77 : 4,137.02 = 1,457.29 : x
  2. Step 2: Convert to fraction form
    2,759.77/4,137.02 = 1,457.29/x
  3. Step 3: Cross multiply
    2,759.77x = 4,137.02 × 1,457.29
  4. Step 4: Simplify right side
    2,759.77x = 6,028,809.90
  5. Step 5: Solve for x
    x = 6,028,809.90/2,759.77
  6. Step 6: Final answer
    x = 2,184.54

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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.