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Finding the Fourth Proportional to 1,521.63, 2,100.12 and 1,452.38

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Solution

The fourth proportional to 1,521.63, 2,100.12 and 1,452.38 is: 2,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.63 : 2,100.12 = 1,452.38 : x
  2. Step 2: Convert to fraction form
    1,521.63/2,100.12 = 1,452.38/x
  3. Step 3: Cross multiply
    1,521.63x = 2,100.12 × 1,452.38
  4. Step 4: Simplify right side
    1,521.63x = 3,050,161.79
  5. Step 5: Solve for x
    x = 3,050,161.79/1,521.63
  6. Step 6: Final answer
    x = 2,004.54

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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.