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Finding the Fourth Proportional to 2,795.64, 4,193.87 and 946.26

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Solution

The fourth proportional to 2,795.64, 4,193.87 and 946.26 is: 1,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.64 : 4,193.87 = 946.26 : x
  2. Step 2: Convert to fraction form
    2,795.64/4,193.87 = 946.26/x
  3. Step 3: Cross multiply
    2,795.64x = 4,193.87 × 946.26
  4. Step 4: Simplify right side
    2,795.64x = 3,968,491.43
  5. Step 5: Solve for x
    x = 3,968,491.43/2,795.64
  6. Step 6: Final answer
    x = 1,419.53

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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.