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Finding the Fourth Proportional to 2,059.95, 2,843.06 and 1,313.13

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Solution

The fourth proportional to 2,059.95, 2,843.06 and 1,313.13 is: 1,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.95 : 2,843.06 = 1,313.13 : x
  2. Step 2: Convert to fraction form
    2,059.95/2,843.06 = 1,313.13/x
  3. Step 3: Cross multiply
    2,059.95x = 2,843.06 × 1,313.13
  4. Step 4: Simplify right side
    2,059.95x = 3,733,300.81
  5. Step 5: Solve for x
    x = 3,733,300.81/2,059.95
  6. Step 6: Final answer
    x = 1,812.33

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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.