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Finding the Fourth Proportional to 1,384.41, 1,918.73 and 1,358.49

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Solution

The fourth proportional to 1,384.41, 1,918.73 and 1,358.49 is: 1,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.41 : 1,918.73 = 1,358.49 : x
  2. Step 2: Convert to fraction form
    1,384.41/1,918.73 = 1,358.49/x
  3. Step 3: Cross multiply
    1,384.41x = 1,918.73 × 1,358.49
  4. Step 4: Simplify right side
    1,384.41x = 2,606,567.67
  5. Step 5: Solve for x
    x = 2,606,567.67/1,384.41
  6. Step 6: Final answer
    x = 1,882.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.