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Finding the Fourth Proportional to 2,404.52, 3,317.73 and 1,460.80

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Solution

The fourth proportional to 2,404.52, 3,317.73 and 1,460.80 is: 2,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.52 : 3,317.73 = 1,460.80 : x
  2. Step 2: Convert to fraction form
    2,404.52/3,317.73 = 1,460.80/x
  3. Step 3: Cross multiply
    2,404.52x = 3,317.73 × 1,460.80
  4. Step 4: Simplify right side
    2,404.52x = 4,846,538.65
  5. Step 5: Solve for x
    x = 4,846,538.65/2,404.52
  6. Step 6: Final answer
    x = 2,015.60

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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.