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Finding the Fourth Proportional to 1,614.50, 2,421.84 and 460.34

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Solution

The fourth proportional to 1,614.50, 2,421.84 and 460.34 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.50 : 2,421.84 = 460.34 : x
  2. Step 2: Convert to fraction form
    1,614.50/2,421.84 = 460.34/x
  3. Step 3: Cross multiply
    1,614.50x = 2,421.84 × 460.34
  4. Step 4: Simplify right side
    1,614.50x = 1,114,869.83
  5. Step 5: Solve for x
    x = 1,114,869.83/1,614.50
  6. Step 6: Final answer
    x = 690.54

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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.