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Finding the Fourth Proportional to 2,116, 2,920.08 and 1,184.52

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Solution

The fourth proportional to 2,116, 2,920.08 and 1,184.52 is: 1,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 2,920.08 = 1,184.52 : x
  2. Step 2: Convert to fraction form
    2,116/2,920.08 = 1,184.52/x
  3. Step 3: Cross multiply
    2,116x = 2,920.08 × 1,184.52
  4. Step 4: Simplify right side
    2,116x = 3,458,893.16
  5. Step 5: Solve for x
    x = 3,458,893.16/2,116
  6. Step 6: Final answer
    x = 1,634.64

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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.