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Finding the Fourth Proportional to 2,163.51, 3,246.08 and 776.79

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Solution

The fourth proportional to 2,163.51, 3,246.08 and 776.79 is: 1,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.51 : 3,246.08 = 776.79 : x
  2. Step 2: Convert to fraction form
    2,163.51/3,246.08 = 776.79/x
  3. Step 3: Cross multiply
    2,163.51x = 3,246.08 × 776.79
  4. Step 4: Simplify right side
    2,163.51x = 2,521,518.60
  5. Step 5: Solve for x
    x = 2,521,518.60/2,163.51
  6. Step 6: Final answer
    x = 1,165.48

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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.