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Finding the Fourth Proportional to 1,813.45, 2,503.84 and 1,415.55

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Solution

The fourth proportional to 1,813.45, 2,503.84 and 1,415.55 is: 1,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.45 : 2,503.84 = 1,415.55 : x
  2. Step 2: Convert to fraction form
    1,813.45/2,503.84 = 1,415.55/x
  3. Step 3: Cross multiply
    1,813.45x = 2,503.84 × 1,415.55
  4. Step 4: Simplify right side
    1,813.45x = 3,544,310.71
  5. Step 5: Solve for x
    x = 3,544,310.71/1,813.45
  6. Step 6: Final answer
    x = 1,954.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.