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Finding the Fourth Proportional to 2,683.35, 4,014.68 and 1,643.13

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Solution

The fourth proportional to 2,683.35, 4,014.68 and 1,643.13 is: 2,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.35 : 4,014.68 = 1,643.13 : x
  2. Step 2: Convert to fraction form
    2,683.35/4,014.68 = 1,643.13/x
  3. Step 3: Cross multiply
    2,683.35x = 4,014.68 × 1,643.13
  4. Step 4: Simplify right side
    2,683.35x = 6,596,632.93
  5. Step 5: Solve for x
    x = 6,596,632.93/2,683.35
  6. Step 6: Final answer
    x = 2,458.36

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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.