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Finding the Fourth Proportional to 2,683.52, 3,701.12 and 2,216.96

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Solution

The fourth proportional to 2,683.52, 3,701.12 and 2,216.96 is: 3,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.52 : 3,701.12 = 2,216.96 : x
  2. Step 2: Convert to fraction form
    2,683.52/3,701.12 = 2,216.96/x
  3. Step 3: Cross multiply
    2,683.52x = 3,701.12 × 2,216.96
  4. Step 4: Simplify right side
    2,683.52x = 8,205,235.00
  5. Step 5: Solve for x
    x = 8,205,235.00/2,683.52
  6. Step 6: Final answer
    x = 3,057.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.