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Finding the Fourth Proportional to 2,111.51, 3,169.87 and 1,368.69

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Solution

The fourth proportional to 2,111.51, 3,169.87 and 1,368.69 is: 2,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.51 : 3,169.87 = 1,368.69 : x
  2. Step 2: Convert to fraction form
    2,111.51/3,169.87 = 1,368.69/x
  3. Step 3: Cross multiply
    2,111.51x = 3,169.87 × 1,368.69
  4. Step 4: Simplify right side
    2,111.51x = 4,338,569.37
  5. Step 5: Solve for x
    x = 4,338,569.37/2,111.51
  6. Step 6: Final answer
    x = 2,054.72

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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.