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Finding the Fourth Proportional to 4,653.72, 6,978.74 and 2,054.84

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Solution

The fourth proportional to 4,653.72, 6,978.74 and 2,054.84 is: 3,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.72 : 6,978.74 = 2,054.84 : x
  2. Step 2: Convert to fraction form
    4,653.72/6,978.74 = 2,054.84/x
  3. Step 3: Cross multiply
    4,653.72x = 6,978.74 × 2,054.84
  4. Step 4: Simplify right side
    4,653.72x = 14,340,148.93
  5. Step 5: Solve for x
    x = 14,340,148.93/4,653.72
  6. Step 6: Final answer
    x = 3,081.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.