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Finding the Fourth Proportional to 1,693.72, 2,537.02 and 869.48

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Solution

The fourth proportional to 1,693.72, 2,537.02 and 869.48 is: 1,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.72 : 2,537.02 = 869.48 : x
  2. Step 2: Convert to fraction form
    1,693.72/2,537.02 = 869.48/x
  3. Step 3: Cross multiply
    1,693.72x = 2,537.02 × 869.48
  4. Step 4: Simplify right side
    1,693.72x = 2,205,888.15
  5. Step 5: Solve for x
    x = 2,205,888.15/1,693.72
  6. Step 6: Final answer
    x = 1,302.39

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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.