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Finding the Fourth Proportional to 2,749.77, 4,124.84 and 1,106.32

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Solution

The fourth proportional to 2,749.77, 4,124.84 and 1,106.32 is: 1,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.77 : 4,124.84 = 1,106.32 : x
  2. Step 2: Convert to fraction form
    2,749.77/4,124.84 = 1,106.32/x
  3. Step 3: Cross multiply
    2,749.77x = 4,124.84 × 1,106.32
  4. Step 4: Simplify right side
    2,749.77x = 4,563,392.99
  5. Step 5: Solve for x
    x = 4,563,392.99/2,749.77
  6. Step 6: Final answer
    x = 1,659.55

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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.