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Finding the Fourth Proportional to 2,772.58, 4,157.64 and 1,039.99

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Solution

The fourth proportional to 2,772.58, 4,157.64 and 1,039.99 is: 1,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.58 : 4,157.64 = 1,039.99 : x
  2. Step 2: Convert to fraction form
    2,772.58/4,157.64 = 1,039.99/x
  3. Step 3: Cross multiply
    2,772.58x = 4,157.64 × 1,039.99
  4. Step 4: Simplify right side
    2,772.58x = 4,323,904.02
  5. Step 5: Solve for x
    x = 4,323,904.02/2,772.58
  6. Step 6: Final answer
    x = 1,559.52

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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.