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Finding the Fourth Proportional to 1,614.35, 2,421.51 and 835.88

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Solution

The fourth proportional to 1,614.35, 2,421.51 and 835.88 is: 1,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.35 : 2,421.51 = 835.88 : x
  2. Step 2: Convert to fraction form
    1,614.35/2,421.51 = 835.88/x
  3. Step 3: Cross multiply
    1,614.35x = 2,421.51 × 835.88
  4. Step 4: Simplify right side
    1,614.35x = 2,024,091.78
  5. Step 5: Solve for x
    x = 2,024,091.78/1,614.35
  6. Step 6: Final answer
    x = 1,253.81

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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.