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Finding the Fourth Proportional to 2,303.26, 3,453 and 841.48

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Solution

The fourth proportional to 2,303.26, 3,453 and 841.48 is: 1,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.26 : 3,453 = 841.48 : x
  2. Step 2: Convert to fraction form
    2,303.26/3,453 = 841.48/x
  3. Step 3: Cross multiply
    2,303.26x = 3,453 × 841.48
  4. Step 4: Simplify right side
    2,303.26x = 2,905,630.44
  5. Step 5: Solve for x
    x = 2,905,630.44/2,303.26
  6. Step 6: Final answer
    x = 1,261.53

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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.