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Finding the Fourth Proportional to 2,699.34, 3,725.13 and 1,580.93

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Solution

The fourth proportional to 2,699.34, 3,725.13 and 1,580.93 is: 2,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.34 : 3,725.13 = 1,580.93 : x
  2. Step 2: Convert to fraction form
    2,699.34/3,725.13 = 1,580.93/x
  3. Step 3: Cross multiply
    2,699.34x = 3,725.13 × 1,580.93
  4. Step 4: Simplify right side
    2,699.34x = 5,889,169.77
  5. Step 5: Solve for x
    x = 5,889,169.77/2,699.34
  6. Step 6: Final answer
    x = 2,181.71

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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.