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Finding the Fourth Proportional to 3,302.85, 4,954.43 and 1,353.69

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Solution

The fourth proportional to 3,302.85, 4,954.43 and 1,353.69 is: 2,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.85 : 4,954.43 = 1,353.69 : x
  2. Step 2: Convert to fraction form
    3,302.85/4,954.43 = 1,353.69/x
  3. Step 3: Cross multiply
    3,302.85x = 4,954.43 × 1,353.69
  4. Step 4: Simplify right side
    3,302.85x = 6,706,762.35
  5. Step 5: Solve for x
    x = 6,706,762.35/3,302.85
  6. Step 6: Final answer
    x = 2,030.60

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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.