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Finding the Fourth Proportional to 1,951.49, 2,919.24 and 1,457.60

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Solution

The fourth proportional to 1,951.49, 2,919.24 and 1,457.60 is: 2,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.49 : 2,919.24 = 1,457.60 : x
  2. Step 2: Convert to fraction form
    1,951.49/2,919.24 = 1,457.60/x
  3. Step 3: Cross multiply
    1,951.49x = 2,919.24 × 1,457.60
  4. Step 4: Simplify right side
    1,951.49x = 4,255,069.63
  5. Step 5: Solve for x
    x = 4,255,069.63/1,951.49
  6. Step 6: Final answer
    x = 2,180.42

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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.