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Finding the Fourth Proportional to 1,803.36, 2,701.80 and 1,677

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Solution

The fourth proportional to 1,803.36, 2,701.80 and 1,677 is: 2,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.36 : 2,701.80 = 1,677 : x
  2. Step 2: Convert to fraction form
    1,803.36/2,701.80 = 1,677/x
  3. Step 3: Cross multiply
    1,803.36x = 2,701.80 × 1,677
  4. Step 4: Simplify right side
    1,803.36x = 4,530,918.60
  5. Step 5: Solve for x
    x = 4,530,918.60/1,803.36
  6. Step 6: Final answer
    x = 2,512.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.