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Finding the Fourth Proportional to 1,755.33, 2,422.41 and 1,009.53

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Solution

The fourth proportional to 1,755.33, 2,422.41 and 1,009.53 is: 1,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.33 : 2,422.41 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    1,755.33/2,422.41 = 1,009.53/x
  3. Step 3: Cross multiply
    1,755.33x = 2,422.41 × 1,009.53
  4. Step 4: Simplify right side
    1,755.33x = 2,445,495.57
  5. Step 5: Solve for x
    x = 2,445,495.57/1,755.33
  6. Step 6: Final answer
    x = 1,393.18

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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.