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Finding the Fourth Proportional to 3,064.58, 4,596.76 and 984.57

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Solution

The fourth proportional to 3,064.58, 4,596.76 and 984.57 is: 1,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.58 : 4,596.76 = 984.57 : x
  2. Step 2: Convert to fraction form
    3,064.58/4,596.76 = 984.57/x
  3. Step 3: Cross multiply
    3,064.58x = 4,596.76 × 984.57
  4. Step 4: Simplify right side
    3,064.58x = 4,525,815.99
  5. Step 5: Solve for x
    x = 4,525,815.99/3,064.58
  6. Step 6: Final answer
    x = 1,476.82

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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.