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Finding the Fourth Proportional to 2,584, 3,566.53 and 1,536.67

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Solution

The fourth proportional to 2,584, 3,566.53 and 1,536.67 is: 2,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,566.53 = 1,536.67 : x
  2. Step 2: Convert to fraction form
    2,584/3,566.53 = 1,536.67/x
  3. Step 3: Cross multiply
    2,584x = 3,566.53 × 1,536.67
  4. Step 4: Simplify right side
    2,584x = 5,480,579.66
  5. Step 5: Solve for x
    x = 5,480,579.66/2,584
  6. Step 6: Final answer
    x = 2,120.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.