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Finding the Fourth Proportional to 3,466.75, 4,784.52 and 2,069.50

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Solution

The fourth proportional to 3,466.75, 4,784.52 and 2,069.50 is: 2,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.75 : 4,784.52 = 2,069.50 : x
  2. Step 2: Convert to fraction form
    3,466.75/4,784.52 = 2,069.50/x
  3. Step 3: Cross multiply
    3,466.75x = 4,784.52 × 2,069.50
  4. Step 4: Simplify right side
    3,466.75x = 9,901,564.14
  5. Step 5: Solve for x
    x = 9,901,564.14/3,466.75
  6. Step 6: Final answer
    x = 2,856.15

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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.