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Finding the Fourth Proportional to 2,453.99, 3,386.14 and 1,509.94

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Solution

The fourth proportional to 2,453.99, 3,386.14 and 1,509.94 is: 2,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.99 : 3,386.14 = 1,509.94 : x
  2. Step 2: Convert to fraction form
    2,453.99/3,386.14 = 1,509.94/x
  3. Step 3: Cross multiply
    2,453.99x = 3,386.14 × 1,509.94
  4. Step 4: Simplify right side
    2,453.99x = 5,112,843.75
  5. Step 5: Solve for x
    x = 5,112,843.75/2,453.99
  6. Step 6: Final answer
    x = 2,083.48

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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.