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Finding the Fourth Proportional to 1,380.58, 1,913.41 and 1,354.66

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Solution

The fourth proportional to 1,380.58, 1,913.41 and 1,354.66 is: 1,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.58 : 1,913.41 = 1,354.66 : x
  2. Step 2: Convert to fraction form
    1,380.58/1,913.41 = 1,354.66/x
  3. Step 3: Cross multiply
    1,380.58x = 1,913.41 × 1,354.66
  4. Step 4: Simplify right side
    1,380.58x = 2,592,019.99
  5. Step 5: Solve for x
    x = 2,592,019.99/1,380.58
  6. Step 6: Final answer
    x = 1,877.49

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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.