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Finding the Fourth Proportional to 3,294, 4,545.66 and 1,968

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Solution

The fourth proportional to 3,294, 4,545.66 and 1,968 is: 2,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294 : 4,545.66 = 1,968 : x
  2. Step 2: Convert to fraction form
    3,294/4,545.66 = 1,968/x
  3. Step 3: Cross multiply
    3,294x = 4,545.66 × 1,968
  4. Step 4: Simplify right side
    3,294x = 8,945,858.88
  5. Step 5: Solve for x
    x = 8,945,858.88/3,294
  6. Step 6: Final answer
    x = 2,715.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.