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Finding the Fourth Proportional to 2,645.26, 3,650.62 and 1,526.40

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Solution

The fourth proportional to 2,645.26, 3,650.62 and 1,526.40 is: 2,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.26 : 3,650.62 = 1,526.40 : x
  2. Step 2: Convert to fraction form
    2,645.26/3,650.62 = 1,526.40/x
  3. Step 3: Cross multiply
    2,645.26x = 3,650.62 × 1,526.40
  4. Step 4: Simplify right side
    2,645.26x = 5,572,306.37
  5. Step 5: Solve for x
    x = 5,572,306.37/2,645.26
  6. Step 6: Final answer
    x = 2,106.53

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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.