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Finding the Fourth Proportional to 1,755.36, 2,422.16 and 1,009.14

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Solution

The fourth proportional to 1,755.36, 2,422.16 and 1,009.14 is: 1,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.36 : 2,422.16 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    1,755.36/2,422.16 = 1,009.14/x
  3. Step 3: Cross multiply
    1,755.36x = 2,422.16 × 1,009.14
  4. Step 4: Simplify right side
    1,755.36x = 2,444,298.54
  5. Step 5: Solve for x
    x = 2,444,298.54/1,755.36
  6. Step 6: Final answer
    x = 1,392.48

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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.