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Finding the Fourth Proportional to 2,068.63, 2,854.47 and 1,184.38

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Solution

The fourth proportional to 2,068.63, 2,854.47 and 1,184.38 is: 1,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.63 : 2,854.47 = 1,184.38 : x
  2. Step 2: Convert to fraction form
    2,068.63/2,854.47 = 1,184.38/x
  3. Step 3: Cross multiply
    2,068.63x = 2,854.47 × 1,184.38
  4. Step 4: Simplify right side
    2,068.63x = 3,380,777.18
  5. Step 5: Solve for x
    x = 3,380,777.18/2,068.63
  6. Step 6: Final answer
    x = 1,634.31

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Why These Related Problems?

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