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Finding the Fourth Proportional to 2,424.84, 3,639.80 and 1,386.82

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Solution

The fourth proportional to 2,424.84, 3,639.80 and 1,386.82 is: 2,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.84 : 3,639.80 = 1,386.82 : x
  2. Step 2: Convert to fraction form
    2,424.84/3,639.80 = 1,386.82/x
  3. Step 3: Cross multiply
    2,424.84x = 3,639.80 × 1,386.82
  4. Step 4: Simplify right side
    2,424.84x = 5,047,747.44
  5. Step 5: Solve for x
    x = 5,047,747.44/2,424.84
  6. Step 6: Final answer
    x = 2,081.68

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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.