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Finding the Fourth Proportional to 2,757.02, 3,803.19 and 1,746.89

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Solution

The fourth proportional to 2,757.02, 3,803.19 and 1,746.89 is: 2,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.02 : 3,803.19 = 1,746.89 : x
  2. Step 2: Convert to fraction form
    2,757.02/3,803.19 = 1,746.89/x
  3. Step 3: Cross multiply
    2,757.02x = 3,803.19 × 1,746.89
  4. Step 4: Simplify right side
    2,757.02x = 6,643,764.09
  5. Step 5: Solve for x
    x = 6,643,764.09/2,757.02
  6. Step 6: Final answer
    x = 2,409.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.