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Finding the Fourth Proportional to 3,768.75, 5,655.56 and 1,460.25

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Solution

The fourth proportional to 3,768.75, 5,655.56 and 1,460.25 is: 2,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.75 : 5,655.56 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    3,768.75/5,655.56 = 1,460.25/x
  3. Step 3: Cross multiply
    3,768.75x = 5,655.56 × 1,460.25
  4. Step 4: Simplify right side
    3,768.75x = 8,258,524.19
  5. Step 5: Solve for x
    x = 8,258,524.19/3,768.75
  6. Step 6: Final answer
    x = 2,191.32

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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.