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Finding the Fourth Proportional to 3,029.68, 4,545.22 and 1,470.43

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Solution

The fourth proportional to 3,029.68, 4,545.22 and 1,470.43 is: 2,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.68 : 4,545.22 = 1,470.43 : x
  2. Step 2: Convert to fraction form
    3,029.68/4,545.22 = 1,470.43/x
  3. Step 3: Cross multiply
    3,029.68x = 4,545.22 × 1,470.43
  4. Step 4: Simplify right side
    3,029.68x = 6,683,427.84
  5. Step 5: Solve for x
    x = 6,683,427.84/3,029.68
  6. Step 6: Final answer
    x = 2,205.98

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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.