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Finding the Fourth Proportional to 2,116.08, 2,920.08 and 1,184.48

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Solution

The fourth proportional to 2,116.08, 2,920.08 and 1,184.48 is: 1,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.08 : 2,920.08 = 1,184.48 : x
  2. Step 2: Convert to fraction form
    2,116.08/2,920.08 = 1,184.48/x
  3. Step 3: Cross multiply
    2,116.08x = 2,920.08 × 1,184.48
  4. Step 4: Simplify right side
    2,116.08x = 3,458,776.36
  5. Step 5: Solve for x
    x = 3,458,776.36/2,116.08
  6. Step 6: Final answer
    x = 1,634.52

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1.5x scale

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.