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Finding the Fourth Proportional to 1,914.88, 2,869.60 and 1,480

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Solution

The fourth proportional to 1,914.88, 2,869.60 and 1,480 is: 2,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.88 : 2,869.60 = 1,480 : x
  2. Step 2: Convert to fraction form
    1,914.88/2,869.60 = 1,480/x
  3. Step 3: Cross multiply
    1,914.88x = 2,869.60 × 1,480
  4. Step 4: Simplify right side
    1,914.88x = 4,247,008
  5. Step 5: Solve for x
    x = 4,247,008/1,914.88
  6. Step 6: Final answer
    x = 2,217.90

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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.