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Finding the Fourth Proportional to 1,827.16, 2,741.46 and 673

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Solution

The fourth proportional to 1,827.16, 2,741.46 and 673 is: 1,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.16 : 2,741.46 = 673 : x
  2. Step 2: Convert to fraction form
    1,827.16/2,741.46 = 673/x
  3. Step 3: Cross multiply
    1,827.16x = 2,741.46 × 673
  4. Step 4: Simplify right side
    1,827.16x = 1,845,002.58
  5. Step 5: Solve for x
    x = 1,845,002.58/1,827.16
  6. Step 6: Final answer
    x = 1,009.77

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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.