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Finding the Fourth Proportional to 3,007.52, 4,151.07 and 1,828.34

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Solution

The fourth proportional to 3,007.52, 4,151.07 and 1,828.34 is: 2,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.52 : 4,151.07 = 1,828.34 : x
  2. Step 2: Convert to fraction form
    3,007.52/4,151.07 = 1,828.34/x
  3. Step 3: Cross multiply
    3,007.52x = 4,151.07 × 1,828.34
  4. Step 4: Simplify right side
    3,007.52x = 7,589,567.32
  5. Step 5: Solve for x
    x = 7,589,567.32/3,007.52
  6. Step 6: Final answer
    x = 2,523.53

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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.