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Finding the Fourth Proportional to 2,289.44, 3,435.12 and 2,095.52

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Solution

The fourth proportional to 2,289.44, 3,435.12 and 2,095.52 is: 3,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.44 : 3,435.12 = 2,095.52 : x
  2. Step 2: Convert to fraction form
    2,289.44/3,435.12 = 2,095.52/x
  3. Step 3: Cross multiply
    2,289.44x = 3,435.12 × 2,095.52
  4. Step 4: Simplify right side
    2,289.44x = 7,198,362.66
  5. Step 5: Solve for x
    x = 7,198,362.66/2,289.44
  6. Step 6: Final answer
    x = 3,144.16

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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.