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Finding the Fourth Proportional to 2,939, 4,056.02 and 1,697

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Solution

The fourth proportional to 2,939, 4,056.02 and 1,697 is: 2,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939 : 4,056.02 = 1,697 : x
  2. Step 2: Convert to fraction form
    2,939/4,056.02 = 1,697/x
  3. Step 3: Cross multiply
    2,939x = 4,056.02 × 1,697
  4. Step 4: Simplify right side
    2,939x = 6,883,065.94
  5. Step 5: Solve for x
    x = 6,883,065.94/2,939
  6. Step 6: Final answer
    x = 2,341.98

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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.