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Finding the Fourth Proportional to 3,009.93, 4,153.66 and 1,683.63

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Solution

The fourth proportional to 3,009.93, 4,153.66 and 1,683.63 is: 2,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.93 : 4,153.66 = 1,683.63 : x
  2. Step 2: Convert to fraction form
    3,009.93/4,153.66 = 1,683.63/x
  3. Step 3: Cross multiply
    3,009.93x = 4,153.66 × 1,683.63
  4. Step 4: Simplify right side
    3,009.93x = 6,993,222.38
  5. Step 5: Solve for x
    x = 6,993,222.38/3,009.93
  6. Step 6: Final answer
    x = 2,323.39

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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.