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Finding the Fourth Proportional to 1,536.68, 2,302.54 and 920.09

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Solution

The fourth proportional to 1,536.68, 2,302.54 and 920.09 is: 1,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.68 : 2,302.54 = 920.09 : x
  2. Step 2: Convert to fraction form
    1,536.68/2,302.54 = 920.09/x
  3. Step 3: Cross multiply
    1,536.68x = 2,302.54 × 920.09
  4. Step 4: Simplify right side
    1,536.68x = 2,118,544.03
  5. Step 5: Solve for x
    x = 2,118,544.03/1,536.68
  6. Step 6: Final answer
    x = 1,378.65

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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.