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Finding the Fourth Proportional to 2,379.67, 3,573.63 and 1,460.63

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Solution

The fourth proportional to 2,379.67, 3,573.63 and 1,460.63 is: 2,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.67 : 3,573.63 = 1,460.63 : x
  2. Step 2: Convert to fraction form
    2,379.67/3,573.63 = 1,460.63/x
  3. Step 3: Cross multiply
    2,379.67x = 3,573.63 × 1,460.63
  4. Step 4: Simplify right side
    2,379.67x = 5,219,760.12
  5. Step 5: Solve for x
    x = 5,219,760.12/2,379.67
  6. Step 6: Final answer
    x = 2,193.48

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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.