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Finding the Fourth Proportional to 1,415.80, 2,131.81 and 1,329.40

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Solution

The fourth proportional to 1,415.80, 2,131.81 and 1,329.40 is: 2,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 2,131.81 = 1,329.40 : x
  2. Step 2: Convert to fraction form
    1,415.80/2,131.81 = 1,329.40/x
  3. Step 3: Cross multiply
    1,415.80x = 2,131.81 × 1,329.40
  4. Step 4: Simplify right side
    1,415.80x = 2,834,028.21
  5. Step 5: Solve for x
    x = 2,834,028.21/1,415.80
  6. Step 6: Final answer
    x = 2,001.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.