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Finding the Fourth Proportional to 2,302.55, 3,453.48 and 841.37

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Solution

The fourth proportional to 2,302.55, 3,453.48 and 841.37 is: 1,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.55 : 3,453.48 = 841.37 : x
  2. Step 2: Convert to fraction form
    2,302.55/3,453.48 = 841.37/x
  3. Step 3: Cross multiply
    2,302.55x = 3,453.48 × 841.37
  4. Step 4: Simplify right side
    2,302.55x = 2,905,637.20
  5. Step 5: Solve for x
    x = 2,905,637.20/2,302.55
  6. Step 6: Final answer
    x = 1,261.92

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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.