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Finding the Fourth Proportional to 1,385.69, 1,909.85 and 1,012.05

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Solution

The fourth proportional to 1,385.69, 1,909.85 and 1,012.05 is: 1,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.69 : 1,909.85 = 1,012.05 : x
  2. Step 2: Convert to fraction form
    1,385.69/1,909.85 = 1,012.05/x
  3. Step 3: Cross multiply
    1,385.69x = 1,909.85 × 1,012.05
  4. Step 4: Simplify right side
    1,385.69x = 1,932,858.63
  5. Step 5: Solve for x
    x = 1,932,858.63/1,385.69
  6. Step 6: Final answer
    x = 1,394.88

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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.