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Finding the Fourth Proportional to 2,453.73, 3,386.55 and 1,459.53

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Solution

The fourth proportional to 2,453.73, 3,386.55 and 1,459.53 is: 2,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.73 : 3,386.55 = 1,459.53 : x
  2. Step 2: Convert to fraction form
    2,453.73/3,386.55 = 1,459.53/x
  3. Step 3: Cross multiply
    2,453.73x = 3,386.55 × 1,459.53
  4. Step 4: Simplify right side
    2,453.73x = 4,942,771.32
  5. Step 5: Solve for x
    x = 4,942,771.32/2,453.73
  6. Step 6: Final answer
    x = 2,014.39

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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.