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Finding the Fourth Proportional to 4,148.99, 6,223.22 and 1,684.02

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Solution

The fourth proportional to 4,148.99, 6,223.22 and 1,684.02 is: 2,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.99 : 6,223.22 = 1,684.02 : x
  2. Step 2: Convert to fraction form
    4,148.99/6,223.22 = 1,684.02/x
  3. Step 3: Cross multiply
    4,148.99x = 6,223.22 × 1,684.02
  4. Step 4: Simplify right side
    4,148.99x = 10,480,026.94
  5. Step 5: Solve for x
    x = 10,480,026.94/4,148.99
  6. Step 6: Final answer
    x = 2,525.92

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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.