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Finding the Fourth Proportional to 1,737.72, 2,594.16 and 1,676.97

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Solution

The fourth proportional to 1,737.72, 2,594.16 and 1,676.97 is: 2,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.72 : 2,594.16 = 1,676.97 : x
  2. Step 2: Convert to fraction form
    1,737.72/2,594.16 = 1,676.97/x
  3. Step 3: Cross multiply
    1,737.72x = 2,594.16 × 1,676.97
  4. Step 4: Simplify right side
    1,737.72x = 4,350,328.50
  5. Step 5: Solve for x
    x = 4,350,328.50/1,737.72
  6. Step 6: Final answer
    x = 2,503.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.