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Finding the Fourth Proportional to 3,006.35, 4,510.45 and 1,600.53

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Solution

The fourth proportional to 3,006.35, 4,510.45 and 1,600.53 is: 2,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.35 : 4,510.45 = 1,600.53 : x
  2. Step 2: Convert to fraction form
    3,006.35/4,510.45 = 1,600.53/x
  3. Step 3: Cross multiply
    3,006.35x = 4,510.45 × 1,600.53
  4. Step 4: Simplify right side
    3,006.35x = 7,219,124.68
  5. Step 5: Solve for x
    x = 7,219,124.68/3,006.35
  6. Step 6: Final answer
    x = 2,401.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.