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Finding the Fourth Proportional to 2,348.86, 3,241.50 and 1,301.02

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Solution

The fourth proportional to 2,348.86, 3,241.50 and 1,301.02 is: 1,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.86 : 3,241.50 = 1,301.02 : x
  2. Step 2: Convert to fraction form
    2,348.86/3,241.50 = 1,301.02/x
  3. Step 3: Cross multiply
    2,348.86x = 3,241.50 × 1,301.02
  4. Step 4: Simplify right side
    2,348.86x = 4,217,256.33
  5. Step 5: Solve for x
    x = 4,217,256.33/2,348.86
  6. Step 6: Final answer
    x = 1,795.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.