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Finding the Fourth Proportional to 2,816.56, 3,885.89 and 1,697.07

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Solution

The fourth proportional to 2,816.56, 3,885.89 and 1,697.07 is: 2,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.56 : 3,885.89 = 1,697.07 : x
  2. Step 2: Convert to fraction form
    2,816.56/3,885.89 = 1,697.07/x
  3. Step 3: Cross multiply
    2,816.56x = 3,885.89 × 1,697.07
  4. Step 4: Simplify right side
    2,816.56x = 6,594,627.34
  5. Step 5: Solve for x
    x = 6,594,627.34/2,816.56
  6. Step 6: Final answer
    x = 2,341.38

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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.