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Finding the Fourth Proportional to 3,073.66, 4,611.13 and 1,021.50

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Solution

The fourth proportional to 3,073.66, 4,611.13 and 1,021.50 is: 1,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.66 : 4,611.13 = 1,021.50 : x
  2. Step 2: Convert to fraction form
    3,073.66/4,611.13 = 1,021.50/x
  3. Step 3: Cross multiply
    3,073.66x = 4,611.13 × 1,021.50
  4. Step 4: Simplify right side
    3,073.66x = 4,710,269.30
  5. Step 5: Solve for x
    x = 4,710,269.30/3,073.66
  6. Step 6: Final answer
    x = 1,532.46

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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.