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Finding the Fourth Proportional to 2,806.94, 4,210.86 and 1,346.06

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Solution

The fourth proportional to 2,806.94, 4,210.86 and 1,346.06 is: 2,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.94 : 4,210.86 = 1,346.06 : x
  2. Step 2: Convert to fraction form
    2,806.94/4,210.86 = 1,346.06/x
  3. Step 3: Cross multiply
    2,806.94x = 4,210.86 × 1,346.06
  4. Step 4: Simplify right side
    2,806.94x = 5,668,070.21
  5. Step 5: Solve for x
    x = 5,668,070.21/2,806.94
  6. Step 6: Final answer
    x = 2,019.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.