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Finding the Fourth Proportional to 2,645.34, 3,650.22 and 1,526.10

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Solution

The fourth proportional to 2,645.34, 3,650.22 and 1,526.10 is: 2,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.34 : 3,650.22 = 1,526.10 : x
  2. Step 2: Convert to fraction form
    2,645.34/3,650.22 = 1,526.10/x
  3. Step 3: Cross multiply
    2,645.34x = 3,650.22 × 1,526.10
  4. Step 4: Simplify right side
    2,645.34x = 5,570,600.74
  5. Step 5: Solve for x
    x = 5,570,600.74/2,645.34
  6. Step 6: Final answer
    x = 2,105.82

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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.