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Finding the Fourth Proportional to 2,281.17, 3,421.98 and 894.63

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Solution

The fourth proportional to 2,281.17, 3,421.98 and 894.63 is: 1,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.17 : 3,421.98 = 894.63 : x
  2. Step 2: Convert to fraction form
    2,281.17/3,421.98 = 894.63/x
  3. Step 3: Cross multiply
    2,281.17x = 3,421.98 × 894.63
  4. Step 4: Simplify right side
    2,281.17x = 3,061,405.97
  5. Step 5: Solve for x
    x = 3,061,405.97/2,281.17
  6. Step 6: Final answer
    x = 1,342.03

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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.