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Finding the Fourth Proportional to 4,653.92, 6,981.86 and 1,366.74

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Solution

The fourth proportional to 4,653.92, 6,981.86 and 1,366.74 is: 2,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.92 : 6,981.86 = 1,366.74 : x
  2. Step 2: Convert to fraction form
    4,653.92/6,981.86 = 1,366.74/x
  3. Step 3: Cross multiply
    4,653.92x = 6,981.86 × 1,366.74
  4. Step 4: Simplify right side
    4,653.92x = 9,542,390.75
  5. Step 5: Solve for x
    x = 9,542,390.75/4,653.92
  6. Step 6: Final answer
    x = 2,050.40

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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.