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Finding the Fourth Proportional to 2,822.63, 3,896.58 and 1,880.00

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Solution

The fourth proportional to 2,822.63, 3,896.58 and 1,880.00 is: 2,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.63 : 3,896.58 = 1,880.00 : x
  2. Step 2: Convert to fraction form
    2,822.63/3,896.58 = 1,880.00/x
  3. Step 3: Cross multiply
    2,822.63x = 3,896.58 × 1,880.00
  4. Step 4: Simplify right side
    2,822.63x = 7,325,550.92
  5. Step 5: Solve for x
    x = 7,325,550.92/2,822.63
  6. Step 6: Final answer
    x = 2,595.30

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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.