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Finding the Fourth Proportional to 1,762.12, 2,638.28 and 892.16

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Solution

The fourth proportional to 1,762.12, 2,638.28 and 892.16 is: 1,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.12 : 2,638.28 = 892.16 : x
  2. Step 2: Convert to fraction form
    1,762.12/2,638.28 = 892.16/x
  3. Step 3: Cross multiply
    1,762.12x = 2,638.28 × 892.16
  4. Step 4: Simplify right side
    1,762.12x = 2,353,767.88
  5. Step 5: Solve for x
    x = 2,353,767.88/1,762.12
  6. Step 6: Final answer
    x = 1,335.76

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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.