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Finding the Fourth Proportional to 1,893.49, 2,841.05 and 660.23

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Solution

The fourth proportional to 1,893.49, 2,841.05 and 660.23 is: 990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.49 : 2,841.05 = 660.23 : x
  2. Step 2: Convert to fraction form
    1,893.49/2,841.05 = 660.23/x
  3. Step 3: Cross multiply
    1,893.49x = 2,841.05 × 660.23
  4. Step 4: Simplify right side
    1,893.49x = 1,875,746.44
  5. Step 5: Solve for x
    x = 1,875,746.44/1,893.49
  6. Step 6: Final answer
    x = 990.63

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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.