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Finding the Fourth Proportional to 1,827.16, 2,741.34 and 673

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Solution

The fourth proportional to 1,827.16, 2,741.34 and 673 is: 1,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.16 : 2,741.34 = 673 : x
  2. Step 2: Convert to fraction form
    1,827.16/2,741.34 = 673/x
  3. Step 3: Cross multiply
    1,827.16x = 2,741.34 × 673
  4. Step 4: Simplify right side
    1,827.16x = 1,844,921.82
  5. Step 5: Solve for x
    x = 1,844,921.82/1,827.16
  6. Step 6: Final answer
    x = 1,009.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.