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Finding the Fourth Proportional to 2,185.76, 3,009.39 and 2,036.72

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Solution

The fourth proportional to 2,185.76, 3,009.39 and 2,036.72 is: 2,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.76 : 3,009.39 = 2,036.72 : x
  2. Step 2: Convert to fraction form
    2,185.76/3,009.39 = 2,036.72/x
  3. Step 3: Cross multiply
    2,185.76x = 3,009.39 × 2,036.72
  4. Step 4: Simplify right side
    2,185.76x = 6,129,284.69
  5. Step 5: Solve for x
    x = 6,129,284.69/2,185.76
  6. Step 6: Final answer
    x = 2,804.19

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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.