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Finding the Fourth Proportional to 1,661.84, 2,293.29 and 1,072.37

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Solution

The fourth proportional to 1,661.84, 2,293.29 and 1,072.37 is: 1,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.84 : 2,293.29 = 1,072.37 : x
  2. Step 2: Convert to fraction form
    1,661.84/2,293.29 = 1,072.37/x
  3. Step 3: Cross multiply
    1,661.84x = 2,293.29 × 1,072.37
  4. Step 4: Simplify right side
    1,661.84x = 2,459,255.40
  5. Step 5: Solve for x
    x = 2,459,255.40/1,661.84
  6. Step 6: Final answer
    x = 1,479.84

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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.