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Finding the Fourth Proportional to 2,289.47, 3,432.07 and 828.28

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Solution

The fourth proportional to 2,289.47, 3,432.07 and 828.28 is: 1,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.47 : 3,432.07 = 828.28 : x
  2. Step 2: Convert to fraction form
    2,289.47/3,432.07 = 828.28/x
  3. Step 3: Cross multiply
    2,289.47x = 3,432.07 × 828.28
  4. Step 4: Simplify right side
    2,289.47x = 2,842,714.94
  5. Step 5: Solve for x
    x = 2,842,714.94/2,289.47
  6. Step 6: Final answer
    x = 1,241.65

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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.