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Finding the Fourth Proportional to 1,802.03, 2,486.81 and 974.03

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Solution

The fourth proportional to 1,802.03, 2,486.81 and 974.03 is: 1,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.03 : 2,486.81 = 974.03 : x
  2. Step 2: Convert to fraction form
    1,802.03/2,486.81 = 974.03/x
  3. Step 3: Cross multiply
    1,802.03x = 2,486.81 × 974.03
  4. Step 4: Simplify right side
    1,802.03x = 2,422,222.67
  5. Step 5: Solve for x
    x = 2,422,222.67/1,802.03
  6. Step 6: Final answer
    x = 1,344.16

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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.