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Finding the Fourth Proportional to 1,802.13, 2,487.01 and 1,016.16

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Solution

The fourth proportional to 1,802.13, 2,487.01 and 1,016.16 is: 1,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.13 : 2,487.01 = 1,016.16 : x
  2. Step 2: Convert to fraction form
    1,802.13/2,487.01 = 1,016.16/x
  3. Step 3: Cross multiply
    1,802.13x = 2,487.01 × 1,016.16
  4. Step 4: Simplify right side
    1,802.13x = 2,527,197.54
  5. Step 5: Solve for x
    x = 2,527,197.54/1,802.13
  6. Step 6: Final answer
    x = 1,402.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.