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Finding the Fourth Proportional to 2,804.94, 4,207.53 and 1,049.78

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Solution

The fourth proportional to 2,804.94, 4,207.53 and 1,049.78 is: 1,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.94 : 4,207.53 = 1,049.78 : x
  2. Step 2: Convert to fraction form
    2,804.94/4,207.53 = 1,049.78/x
  3. Step 3: Cross multiply
    2,804.94x = 4,207.53 × 1,049.78
  4. Step 4: Simplify right side
    2,804.94x = 4,416,959.81
  5. Step 5: Solve for x
    x = 4,416,959.81/2,804.94
  6. Step 6: Final answer
    x = 1,574.71

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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.