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Finding the Fourth Proportional to 1,763, 2,643.98 and 837.64

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Solution

The fourth proportional to 1,763, 2,643.98 and 837.64 is: 1,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763 : 2,643.98 = 837.64 : x
  2. Step 2: Convert to fraction form
    1,763/2,643.98 = 837.64/x
  3. Step 3: Cross multiply
    1,763x = 2,643.98 × 837.64
  4. Step 4: Simplify right side
    1,763x = 2,214,703.41
  5. Step 5: Solve for x
    x = 2,214,703.41/1,763
  6. Step 6: Final answer
    x = 1,256.21

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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.