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Finding the Fourth Proportional to 2,845.50, 3,925.50 and 1,666.05

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Solution

The fourth proportional to 2,845.50, 3,925.50 and 1,666.05 is: 2,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.50 : 3,925.50 = 1,666.05 : x
  2. Step 2: Convert to fraction form
    2,845.50/3,925.50 = 1,666.05/x
  3. Step 3: Cross multiply
    2,845.50x = 3,925.50 × 1,666.05
  4. Step 4: Simplify right side
    2,845.50x = 6,540,079.28
  5. Step 5: Solve for x
    x = 6,540,079.28/2,845.50
  6. Step 6: Final answer
    x = 2,298.39

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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.