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Finding the Fourth Proportional to 2,599.49, 3,586.49 and 1,537.38

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Solution

The fourth proportional to 2,599.49, 3,586.49 and 1,537.38 is: 2,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.49 : 3,586.49 = 1,537.38 : x
  2. Step 2: Convert to fraction form
    2,599.49/3,586.49 = 1,537.38/x
  3. Step 3: Cross multiply
    2,599.49x = 3,586.49 × 1,537.38
  4. Step 4: Simplify right side
    2,599.49x = 5,513,804.72
  5. Step 5: Solve for x
    x = 5,513,804.72/2,599.49
  6. Step 6: Final answer
    x = 2,121.11

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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.