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Finding the Fourth Proportional to 1,660.15, 2,488.94 and 880.26

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Solution

The fourth proportional to 1,660.15, 2,488.94 and 880.26 is: 1,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.15 : 2,488.94 = 880.26 : x
  2. Step 2: Convert to fraction form
    1,660.15/2,488.94 = 880.26/x
  3. Step 3: Cross multiply
    1,660.15x = 2,488.94 × 880.26
  4. Step 4: Simplify right side
    1,660.15x = 2,190,914.32
  5. Step 5: Solve for x
    x = 2,190,914.32/1,660.15
  6. Step 6: Final answer
    x = 1,319.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.