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Finding the Fourth Proportional to 2,806.90, 4,210.23 and 832.45

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Solution

The fourth proportional to 2,806.90, 4,210.23 and 832.45 is: 1,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.90 : 4,210.23 = 832.45 : x
  2. Step 2: Convert to fraction form
    2,806.90/4,210.23 = 832.45/x
  3. Step 3: Cross multiply
    2,806.90x = 4,210.23 × 832.45
  4. Step 4: Simplify right side
    2,806.90x = 3,504,798.56
  5. Step 5: Solve for x
    x = 3,504,798.56/2,806.90
  6. Step 6: Final answer
    x = 1,248.64

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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.