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Finding the Fourth Proportional to 2,379.78, 3,573.76 and 1,460.74

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Solution

The fourth proportional to 2,379.78, 3,573.76 and 1,460.74 is: 2,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.78 : 3,573.76 = 1,460.74 : x
  2. Step 2: Convert to fraction form
    2,379.78/3,573.76 = 1,460.74/x
  3. Step 3: Cross multiply
    2,379.78x = 3,573.76 × 1,460.74
  4. Step 4: Simplify right side
    2,379.78x = 5,220,327.07
  5. Step 5: Solve for x
    x = 5,220,327.07/2,379.78
  6. Step 6: Final answer
    x = 2,193.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.