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Finding the Fourth Proportional to 1,453.58, 2,178.04 and 1,415.13

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Solution

The fourth proportional to 1,453.58, 2,178.04 and 1,415.13 is: 2,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.58 : 2,178.04 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    1,453.58/2,178.04 = 1,415.13/x
  3. Step 3: Cross multiply
    1,453.58x = 2,178.04 × 1,415.13
  4. Step 4: Simplify right side
    1,453.58x = 3,082,209.75
  5. Step 5: Solve for x
    x = 3,082,209.75/1,453.58
  6. Step 6: Final answer
    x = 2,120.43

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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.