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Finding the Fourth Proportional to 2,533.53, 3,800.70 and 684.78

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Solution

The fourth proportional to 2,533.53, 3,800.70 and 684.78 is: 1,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.53 : 3,800.70 = 684.78 : x
  2. Step 2: Convert to fraction form
    2,533.53/3,800.70 = 684.78/x
  3. Step 3: Cross multiply
    2,533.53x = 3,800.70 × 684.78
  4. Step 4: Simplify right side
    2,533.53x = 2,602,643.35
  5. Step 5: Solve for x
    x = 2,602,643.35/2,533.53
  6. Step 6: Final answer
    x = 1,027.28

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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.