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Finding the Fourth Proportional to 1,795.86, 2,676.15 and 1,737.14

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Solution

The fourth proportional to 1,795.86, 2,676.15 and 1,737.14 is: 2,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.86 : 2,676.15 = 1,737.14 : x
  2. Step 2: Convert to fraction form
    1,795.86/2,676.15 = 1,737.14/x
  3. Step 3: Cross multiply
    1,795.86x = 2,676.15 × 1,737.14
  4. Step 4: Simplify right side
    1,795.86x = 4,648,833.83
  5. Step 5: Solve for x
    x = 4,648,833.83/1,795.86
  6. Step 6: Final answer
    x = 2,588.64

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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.