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Finding the Fourth Proportional to 1,385.40, 1,909.65 and 1,012.41

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Solution

The fourth proportional to 1,385.40, 1,909.65 and 1,012.41 is: 1,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.40 : 1,909.65 = 1,012.41 : x
  2. Step 2: Convert to fraction form
    1,385.40/1,909.65 = 1,012.41/x
  3. Step 3: Cross multiply
    1,385.40x = 1,909.65 × 1,012.41
  4. Step 4: Simplify right side
    1,385.40x = 1,933,348.76
  5. Step 5: Solve for x
    x = 1,933,348.76/1,385.40
  6. Step 6: Final answer
    x = 1,395.52

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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.