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Finding the Fourth Proportional to 1,660.33, 2,290.48 and 1,071.05

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Solution

The fourth proportional to 1,660.33, 2,290.48 and 1,071.05 is: 1,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.33 : 2,290.48 = 1,071.05 : x
  2. Step 2: Convert to fraction form
    1,660.33/2,290.48 = 1,071.05/x
  3. Step 3: Cross multiply
    1,660.33x = 2,290.48 × 1,071.05
  4. Step 4: Simplify right side
    1,660.33x = 2,453,218.60
  5. Step 5: Solve for x
    x = 2,453,218.60/1,660.33
  6. Step 6: Final answer
    x = 1,477.55

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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.