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Finding the Fourth Proportional to 2,842.32, 4,262.76 and 894.36

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Solution

The fourth proportional to 2,842.32, 4,262.76 and 894.36 is: 1,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.32 : 4,262.76 = 894.36 : x
  2. Step 2: Convert to fraction form
    2,842.32/4,262.76 = 894.36/x
  3. Step 3: Cross multiply
    2,842.32x = 4,262.76 × 894.36
  4. Step 4: Simplify right side
    2,842.32x = 3,812,442.03
  5. Step 5: Solve for x
    x = 3,812,442.03/2,842.32
  6. Step 6: Final answer
    x = 1,341.31

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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.