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Finding the Fourth Proportional to 2,068.29, 2,854.29 and 1,184.37

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Solution

The fourth proportional to 2,068.29, 2,854.29 and 1,184.37 is: 1,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.29 : 2,854.29 = 1,184.37 : x
  2. Step 2: Convert to fraction form
    2,068.29/2,854.29 = 1,184.37/x
  3. Step 3: Cross multiply
    2,068.29x = 2,854.29 × 1,184.37
  4. Step 4: Simplify right side
    2,068.29x = 3,380,535.45
  5. Step 5: Solve for x
    x = 3,380,535.45/2,068.29
  6. Step 6: Final answer
    x = 1,634.46

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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.