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Finding the Fourth Proportional to 1,348.67, 1,858.34 and 1,033.99

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Solution

The fourth proportional to 1,348.67, 1,858.34 and 1,033.99 is: 1,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.67 : 1,858.34 = 1,033.99 : x
  2. Step 2: Convert to fraction form
    1,348.67/1,858.34 = 1,033.99/x
  3. Step 3: Cross multiply
    1,348.67x = 1,858.34 × 1,033.99
  4. Step 4: Simplify right side
    1,348.67x = 1,921,502.92
  5. Step 5: Solve for x
    x = 1,921,502.92/1,348.67
  6. Step 6: Final answer
    x = 1,424.74

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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.