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Finding the Fourth Proportional to 2,806.65, 4,205.32 and 1,707.68

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Solution

The fourth proportional to 2,806.65, 4,205.32 and 1,707.68 is: 2,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.65 : 4,205.32 = 1,707.68 : x
  2. Step 2: Convert to fraction form
    2,806.65/4,205.32 = 1,707.68/x
  3. Step 3: Cross multiply
    2,806.65x = 4,205.32 × 1,707.68
  4. Step 4: Simplify right side
    2,806.65x = 7,181,347.10
  5. Step 5: Solve for x
    x = 7,181,347.10/2,806.65
  6. Step 6: Final answer
    x = 2,558.69

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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.