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Finding the Fourth Proportional to 2,635.36, 3,953.68 and 1,386

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Solution

The fourth proportional to 2,635.36, 3,953.68 and 1,386 is: 2,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.36 : 3,953.68 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,635.36/3,953.68 = 1,386/x
  3. Step 3: Cross multiply
    2,635.36x = 3,953.68 × 1,386
  4. Step 4: Simplify right side
    2,635.36x = 5,479,800.48
  5. Step 5: Solve for x
    x = 5,479,800.48/2,635.36
  6. Step 6: Final answer
    x = 2,079.34

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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.