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Finding the Fourth Proportional to 2,077.63, 2,866.23 and 1,368.57

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Solution

The fourth proportional to 2,077.63, 2,866.23 and 1,368.57 is: 1,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.63 : 2,866.23 = 1,368.57 : x
  2. Step 2: Convert to fraction form
    2,077.63/2,866.23 = 1,368.57/x
  3. Step 3: Cross multiply
    2,077.63x = 2,866.23 × 1,368.57
  4. Step 4: Simplify right side
    2,077.63x = 3,922,626.02
  5. Step 5: Solve for x
    x = 3,922,626.02/2,077.63
  6. Step 6: Final answer
    x = 1,888.03

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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.