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Finding the Fourth Proportional to 2,857.76, 3,941.16 and 1,795.64

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Solution

The fourth proportional to 2,857.76, 3,941.16 and 1,795.64 is: 2,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.76 : 3,941.16 = 1,795.64 : x
  2. Step 2: Convert to fraction form
    2,857.76/3,941.16 = 1,795.64/x
  3. Step 3: Cross multiply
    2,857.76x = 3,941.16 × 1,795.64
  4. Step 4: Simplify right side
    2,857.76x = 7,076,904.54
  5. Step 5: Solve for x
    x = 7,076,904.54/2,857.76
  6. Step 6: Final answer
    x = 2,476.38

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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.