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Finding the Fourth Proportional to 2,802.04, 3,864.30 and 1,754.20

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Solution

The fourth proportional to 2,802.04, 3,864.30 and 1,754.20 is: 2,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.04 : 3,864.30 = 1,754.20 : x
  2. Step 2: Convert to fraction form
    2,802.04/3,864.30 = 1,754.20/x
  3. Step 3: Cross multiply
    2,802.04x = 3,864.30 × 1,754.20
  4. Step 4: Simplify right side
    2,802.04x = 6,778,755.06
  5. Step 5: Solve for x
    x = 6,778,755.06/2,802.04
  6. Step 6: Final answer
    x = 2,419.22

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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.