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Finding the Fourth Proportional to 1,803.62, 2,701.82 and 1,651.34

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Solution

The fourth proportional to 1,803.62, 2,701.82 and 1,651.34 is: 2,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.62 : 2,701.82 = 1,651.34 : x
  2. Step 2: Convert to fraction form
    1,803.62/2,701.82 = 1,651.34/x
  3. Step 3: Cross multiply
    1,803.62x = 2,701.82 × 1,651.34
  4. Step 4: Simplify right side
    1,803.62x = 4,461,623.44
  5. Step 5: Solve for x
    x = 4,461,623.44/1,803.62
  6. Step 6: Final answer
    x = 2,473.70

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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.