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Finding the Fourth Proportional to 1,661.31, 2,294.46 and 1,503.90

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Solution

The fourth proportional to 1,661.31, 2,294.46 and 1,503.90 is: 2,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.31 : 2,294.46 = 1,503.90 : x
  2. Step 2: Convert to fraction form
    1,661.31/2,294.46 = 1,503.90/x
  3. Step 3: Cross multiply
    1,661.31x = 2,294.46 × 1,503.90
  4. Step 4: Simplify right side
    1,661.31x = 3,450,638.39
  5. Step 5: Solve for x
    x = 3,450,638.39/1,661.31
  6. Step 6: Final answer
    x = 2,077.06

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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.