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Finding the Fourth Proportional to 2,130.06, 2,939.30 and 1,185.74

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Solution

The fourth proportional to 2,130.06, 2,939.30 and 1,185.74 is: 1,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.06 : 2,939.30 = 1,185.74 : x
  2. Step 2: Convert to fraction form
    2,130.06/2,939.30 = 1,185.74/x
  3. Step 3: Cross multiply
    2,130.06x = 2,939.30 × 1,185.74
  4. Step 4: Simplify right side
    2,130.06x = 3,485,245.58
  5. Step 5: Solve for x
    x = 3,485,245.58/2,130.06
  6. Step 6: Final answer
    x = 1,636.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.