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Finding the Fourth Proportional to 2,454.81, 3,386.53 and 1,459.52

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Solution

The fourth proportional to 2,454.81, 3,386.53 and 1,459.52 is: 2,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.81 : 3,386.53 = 1,459.52 : x
  2. Step 2: Convert to fraction form
    2,454.81/3,386.53 = 1,459.52/x
  3. Step 3: Cross multiply
    2,454.81x = 3,386.53 × 1,459.52
  4. Step 4: Simplify right side
    2,454.81x = 4,942,708.27
  5. Step 5: Solve for x
    x = 4,942,708.27/2,454.81
  6. Step 6: Final answer
    x = 2,013.48

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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.