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Finding the Fourth Proportional to 2,486.51, 3,431.57 and 1,424.61

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Solution

The fourth proportional to 2,486.51, 3,431.57 and 1,424.61 is: 1,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.51 : 3,431.57 = 1,424.61 : x
  2. Step 2: Convert to fraction form
    2,486.51/3,431.57 = 1,424.61/x
  3. Step 3: Cross multiply
    2,486.51x = 3,431.57 × 1,424.61
  4. Step 4: Simplify right side
    2,486.51x = 4,888,636.80
  5. Step 5: Solve for x
    x = 4,888,636.80/2,486.51
  6. Step 6: Final answer
    x = 1,966.07

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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.