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Finding the Fourth Proportional to 2,842.41, 4,264.19 and 894.16

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Solution

The fourth proportional to 2,842.41, 4,264.19 and 894.16 is: 1,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.41 : 4,264.19 = 894.16 : x
  2. Step 2: Convert to fraction form
    2,842.41/4,264.19 = 894.16/x
  3. Step 3: Cross multiply
    2,842.41x = 4,264.19 × 894.16
  4. Step 4: Simplify right side
    2,842.41x = 3,812,842.34
  5. Step 5: Solve for x
    x = 3,812,842.34/2,842.41
  6. Step 6: Final answer
    x = 1,341.41

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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.