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Finding the Fourth Proportional to 2,068.93, 2,855.12 and 1,184.73

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Solution

The fourth proportional to 2,068.93, 2,855.12 and 1,184.73 is: 1,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.93 : 2,855.12 = 1,184.73 : x
  2. Step 2: Convert to fraction form
    2,068.93/2,855.12 = 1,184.73/x
  3. Step 3: Cross multiply
    2,068.93x = 2,855.12 × 1,184.73
  4. Step 4: Simplify right side
    2,068.93x = 3,382,545.75
  5. Step 5: Solve for x
    x = 3,382,545.75/2,068.93
  6. Step 6: Final answer
    x = 1,634.93

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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.