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Finding the Fourth Proportional to 2,756.96, 3,804.48 and 1,578.24

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Solution

The fourth proportional to 2,756.96, 3,804.48 and 1,578.24 is: 2,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.96 : 3,804.48 = 1,578.24 : x
  2. Step 2: Convert to fraction form
    2,756.96/3,804.48 = 1,578.24/x
  3. Step 3: Cross multiply
    2,756.96x = 3,804.48 × 1,578.24
  4. Step 4: Simplify right side
    2,756.96x = 6,004,382.52
  5. Step 5: Solve for x
    x = 6,004,382.52/2,756.96
  6. Step 6: Final answer
    x = 2,177.90

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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.