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Finding the Fourth Proportional to 2,762.54, 4,144.73 and 1,118.20

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Solution

The fourth proportional to 2,762.54, 4,144.73 and 1,118.20 is: 1,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.54 : 4,144.73 = 1,118.20 : x
  2. Step 2: Convert to fraction form
    2,762.54/4,144.73 = 1,118.20/x
  3. Step 3: Cross multiply
    2,762.54x = 4,144.73 × 1,118.20
  4. Step 4: Simplify right side
    2,762.54x = 4,634,621.13
  5. Step 5: Solve for x
    x = 4,634,621.13/2,762.54
  6. Step 6: Final answer
    x = 1,677.67

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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.