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Finding the Fourth Proportional to 2,360.09, 3,256.96 and 1,297.90

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Solution

The fourth proportional to 2,360.09, 3,256.96 and 1,297.90 is: 1,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.09 : 3,256.96 = 1,297.90 : x
  2. Step 2: Convert to fraction form
    2,360.09/3,256.96 = 1,297.90/x
  3. Step 3: Cross multiply
    2,360.09x = 3,256.96 × 1,297.90
  4. Step 4: Simplify right side
    2,360.09x = 4,227,208.38
  5. Step 5: Solve for x
    x = 4,227,208.38/2,360.09
  6. Step 6: Final answer
    x = 1,791.12

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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.