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Finding the Fourth Proportional to 2,071.97, 2,856.07 and 1,407.67

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Solution

The fourth proportional to 2,071.97, 2,856.07 and 1,407.67 is: 1,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.97 : 2,856.07 = 1,407.67 : x
  2. Step 2: Convert to fraction form
    2,071.97/2,856.07 = 1,407.67/x
  3. Step 3: Cross multiply
    2,071.97x = 2,856.07 × 1,407.67
  4. Step 4: Simplify right side
    2,071.97x = 4,020,404.06
  5. Step 5: Solve for x
    x = 4,020,404.06/2,071.97
  6. Step 6: Final answer
    x = 1,940.38

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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.