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Finding the Fourth Proportional to 1,802.12, 2,486.80 and 1,016.21

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Solution

The fourth proportional to 1,802.12, 2,486.80 and 1,016.21 is: 1,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.12 : 2,486.80 = 1,016.21 : x
  2. Step 2: Convert to fraction form
    1,802.12/2,486.80 = 1,016.21/x
  3. Step 3: Cross multiply
    1,802.12x = 2,486.80 × 1,016.21
  4. Step 4: Simplify right side
    1,802.12x = 2,527,118.52
  5. Step 5: Solve for x
    x = 2,527,118.52/1,802.12
  6. Step 6: Final answer
    x = 1,402.31

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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.