Home / 2,071.92-2,857.80-1,407.62

Finding the Fourth Proportional to 2,071.92, 2,857.80 and 1,407.62

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Solution

The fourth proportional to 2,071.92, 2,857.80 and 1,407.62 is: 1,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.92 : 2,857.80 = 1,407.62 : x
  2. Step 2: Convert to fraction form
    2,071.92/2,857.80 = 1,407.62/x
  3. Step 3: Cross multiply
    2,071.92x = 2,857.80 × 1,407.62
  4. Step 4: Simplify right side
    2,071.92x = 4,022,703.58
  5. Step 5: Solve for x
    x = 4,022,703.58/2,071.92
  6. Step 6: Final answer
    x = 1,941.53

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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.