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Finding the Fourth Proportional to 1,348.34, 1,858.41 and 950.15

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Solution

The fourth proportional to 1,348.34, 1,858.41 and 950.15 is: 1,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.34 : 1,858.41 = 950.15 : x
  2. Step 2: Convert to fraction form
    1,348.34/1,858.41 = 950.15/x
  3. Step 3: Cross multiply
    1,348.34x = 1,858.41 × 950.15
  4. Step 4: Simplify right side
    1,348.34x = 1,765,772.91
  5. Step 5: Solve for x
    x = 1,765,772.91/1,348.34
  6. Step 6: Final answer
    x = 1,309.60

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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.