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Finding the Fourth Proportional to 2,822.48, 3,894.90 and 1,643.60

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Solution

The fourth proportional to 2,822.48, 3,894.90 and 1,643.60 is: 2,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.48 : 3,894.90 = 1,643.60 : x
  2. Step 2: Convert to fraction form
    2,822.48/3,894.90 = 1,643.60/x
  3. Step 3: Cross multiply
    2,822.48x = 3,894.90 × 1,643.60
  4. Step 4: Simplify right side
    2,822.48x = 6,401,657.64
  5. Step 5: Solve for x
    x = 6,401,657.64/2,822.48
  6. Step 6: Final answer
    x = 2,268.10

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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.