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Finding the Fourth Proportional to 1,367.80, 2,050.98 and 880.36

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Solution

The fourth proportional to 1,367.80, 2,050.98 and 880.36 is: 1,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.80 : 2,050.98 = 880.36 : x
  2. Step 2: Convert to fraction form
    1,367.80/2,050.98 = 880.36/x
  3. Step 3: Cross multiply
    1,367.80x = 2,050.98 × 880.36
  4. Step 4: Simplify right side
    1,367.80x = 1,805,600.75
  5. Step 5: Solve for x
    x = 1,805,600.75/1,367.80
  6. Step 6: Final answer
    x = 1,320.08

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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.