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Finding the Fourth Proportional to 1,886.09, 2,828.67 and 716.22

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Solution

The fourth proportional to 1,886.09, 2,828.67 and 716.22 is: 1,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.09 : 2,828.67 = 716.22 : x
  2. Step 2: Convert to fraction form
    1,886.09/2,828.67 = 716.22/x
  3. Step 3: Cross multiply
    1,886.09x = 2,828.67 × 716.22
  4. Step 4: Simplify right side
    1,886.09x = 2,025,950.03
  5. Step 5: Solve for x
    x = 2,025,950.03/1,886.09
  6. Step 6: Final answer
    x = 1,074.16

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Why These Related Problems?

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