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Finding the Fourth Proportional to 4,603.14, 6,905.55 and 1,683.54

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Solution

The fourth proportional to 4,603.14, 6,905.55 and 1,683.54 is: 2,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.14 : 6,905.55 = 1,683.54 : x
  2. Step 2: Convert to fraction form
    4,603.14/6,905.55 = 1,683.54/x
  3. Step 3: Cross multiply
    4,603.14x = 6,905.55 × 1,683.54
  4. Step 4: Simplify right side
    4,603.14x = 11,625,769.65
  5. Step 5: Solve for x
    x = 11,625,769.65/4,603.14
  6. Step 6: Final answer
    x = 2,525.62

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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.