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Finding the Fourth Proportional to 1,385.33, 1,911.89 and 1,342.31

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Solution

The fourth proportional to 1,385.33, 1,911.89 and 1,342.31 is: 1,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.33 : 1,911.89 = 1,342.31 : x
  2. Step 2: Convert to fraction form
    1,385.33/1,911.89 = 1,342.31/x
  3. Step 3: Cross multiply
    1,385.33x = 1,911.89 × 1,342.31
  4. Step 4: Simplify right side
    1,385.33x = 2,566,342.86
  5. Step 5: Solve for x
    x = 2,566,342.86/1,385.33
  6. Step 6: Final answer
    x = 1,852.52

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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.