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Finding the Fourth Proportional to 1,384.25, 2,064.43 and 1,365.71

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Solution

The fourth proportional to 1,384.25, 2,064.43 and 1,365.71 is: 2,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.25 : 2,064.43 = 1,365.71 : x
  2. Step 2: Convert to fraction form
    1,384.25/2,064.43 = 1,365.71/x
  3. Step 3: Cross multiply
    1,384.25x = 2,064.43 × 1,365.71
  4. Step 4: Simplify right side
    1,384.25x = 2,819,404.08
  5. Step 5: Solve for x
    x = 2,819,404.08/1,384.25
  6. Step 6: Final answer
    x = 2,036.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.