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Finding the Fourth Proportional to 2,325.38, 3,486.65 and 937.51

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Solution

The fourth proportional to 2,325.38, 3,486.65 and 937.51 is: 1,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.38 : 3,486.65 = 937.51 : x
  2. Step 2: Convert to fraction form
    2,325.38/3,486.65 = 937.51/x
  3. Step 3: Cross multiply
    2,325.38x = 3,486.65 × 937.51
  4. Step 4: Simplify right side
    2,325.38x = 3,268,755.84
  5. Step 5: Solve for x
    x = 3,268,755.84/2,325.38
  6. Step 6: Final answer
    x = 1,405.69

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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.