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Finding the Fourth Proportional to 1,348.51, 1,861.14 and 1,016.41

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Solution

The fourth proportional to 1,348.51, 1,861.14 and 1,016.41 is: 1,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.51 : 1,861.14 = 1,016.41 : x
  2. Step 2: Convert to fraction form
    1,348.51/1,861.14 = 1,016.41/x
  3. Step 3: Cross multiply
    1,348.51x = 1,861.14 × 1,016.41
  4. Step 4: Simplify right side
    1,348.51x = 1,891,681.31
  5. Step 5: Solve for x
    x = 1,891,681.31/1,348.51
  6. Step 6: Final answer
    x = 1,402.79

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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.