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Finding the Fourth Proportional to 2,706.16, 4,059.24 and 2,214.08

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Solution

The fourth proportional to 2,706.16, 4,059.24 and 2,214.08 is: 3,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.16 : 4,059.24 = 2,214.08 : x
  2. Step 2: Convert to fraction form
    2,706.16/4,059.24 = 2,214.08/x
  3. Step 3: Cross multiply
    2,706.16x = 4,059.24 × 2,214.08
  4. Step 4: Simplify right side
    2,706.16x = 8,987,483.94
  5. Step 5: Solve for x
    x = 8,987,483.94/2,706.16
  6. Step 6: Final answer
    x = 3,321.12

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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.