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Finding the Fourth Proportional to 2,762.77, 4,144.08 and 1,202.77

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Solution

The fourth proportional to 2,762.77, 4,144.08 and 1,202.77 is: 1,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.77 : 4,144.08 = 1,202.77 : x
  2. Step 2: Convert to fraction form
    2,762.77/4,144.08 = 1,202.77/x
  3. Step 3: Cross multiply
    2,762.77x = 4,144.08 × 1,202.77
  4. Step 4: Simplify right side
    2,762.77x = 4,984,379.11
  5. Step 5: Solve for x
    x = 4,984,379.11/2,762.77
  6. Step 6: Final answer
    x = 1,804.12

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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.