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Finding the Fourth Proportional to 2,795.53, 4,193.93 and 946.75

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Solution

The fourth proportional to 2,795.53, 4,193.93 and 946.75 is: 1,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.53 : 4,193.93 = 946.75 : x
  2. Step 2: Convert to fraction form
    2,795.53/4,193.93 = 946.75/x
  3. Step 3: Cross multiply
    2,795.53x = 4,193.93 × 946.75
  4. Step 4: Simplify right side
    2,795.53x = 3,970,598.49
  5. Step 5: Solve for x
    x = 3,970,598.49/2,795.53
  6. Step 6: Final answer
    x = 1,420.34

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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.