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Finding the Fourth Proportional to 2,806.02, 4,208.79 and 957.18

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Solution

The fourth proportional to 2,806.02, 4,208.79 and 957.18 is: 1,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.02 : 4,208.79 = 957.18 : x
  2. Step 2: Convert to fraction form
    2,806.02/4,208.79 = 957.18/x
  3. Step 3: Cross multiply
    2,806.02x = 4,208.79 × 957.18
  4. Step 4: Simplify right side
    2,806.02x = 4,028,569.61
  5. Step 5: Solve for x
    x = 4,028,569.61/2,806.02
  6. Step 6: Final answer
    x = 1,435.69

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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.