Home / 2,942.32-4,059.93-1,683.16

Finding the Fourth Proportional to 2,942.32, 4,059.93 and 1,683.16

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Solution

The fourth proportional to 2,942.32, 4,059.93 and 1,683.16 is: 2,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.32 : 4,059.93 = 1,683.16 : x
  2. Step 2: Convert to fraction form
    2,942.32/4,059.93 = 1,683.16/x
  3. Step 3: Cross multiply
    2,942.32x = 4,059.93 × 1,683.16
  4. Step 4: Simplify right side
    2,942.32x = 6,833,511.78
  5. Step 5: Solve for x
    x = 6,833,511.78/2,942.32
  6. Step 6: Final answer
    x = 2,322.49

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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.