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Finding the Fourth Proportional to 2,257.47, 3,386.81 and 1,284.26

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Solution

The fourth proportional to 2,257.47, 3,386.81 and 1,284.26 is: 1,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.47 : 3,386.81 = 1,284.26 : x
  2. Step 2: Convert to fraction form
    2,257.47/3,386.81 = 1,284.26/x
  3. Step 3: Cross multiply
    2,257.47x = 3,386.81 × 1,284.26
  4. Step 4: Simplify right side
    2,257.47x = 4,349,530.89
  5. Step 5: Solve for x
    x = 4,349,530.89/2,257.47
  6. Step 6: Final answer
    x = 1,926.73

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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.