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Finding the Fourth Proportional to 2,465, 3,697.74 and 1,097

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Solution

The fourth proportional to 2,465, 3,697.74 and 1,097 is: 1,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 3,697.74 = 1,097 : x
  2. Step 2: Convert to fraction form
    2,465/3,697.74 = 1,097/x
  3. Step 3: Cross multiply
    2,465x = 3,697.74 × 1,097
  4. Step 4: Simplify right side
    2,465x = 4,056,420.78
  5. Step 5: Solve for x
    x = 4,056,420.78/2,465
  6. Step 6: Final answer
    x = 1,645.61

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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.