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Finding the Fourth Proportional to 1,353.69, 2,032.79 and 1,024.65

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Solution

The fourth proportional to 1,353.69, 2,032.79 and 1,024.65 is: 1,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.69 : 2,032.79 = 1,024.65 : x
  2. Step 2: Convert to fraction form
    1,353.69/2,032.79 = 1,024.65/x
  3. Step 3: Cross multiply
    1,353.69x = 2,032.79 × 1,024.65
  4. Step 4: Simplify right side
    1,353.69x = 2,082,893.15
  5. Step 5: Solve for x
    x = 2,082,893.15/1,353.69
  6. Step 6: Final answer
    x = 1,538.68

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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.