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Finding the Fourth Proportional to 1,958.62, 2,699.87 and 1,460.50

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Solution

The fourth proportional to 1,958.62, 2,699.87 and 1,460.50 is: 2,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.62 : 2,699.87 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    1,958.62/2,699.87 = 1,460.50/x
  3. Step 3: Cross multiply
    1,958.62x = 2,699.87 × 1,460.50
  4. Step 4: Simplify right side
    1,958.62x = 3,943,160.14
  5. Step 5: Solve for x
    x = 3,943,160.14/1,958.62
  6. Step 6: Final answer
    x = 2,013.23

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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.