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Finding the Fourth Proportional to 1,919.32, 2,878.70 and 532.75

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Solution

The fourth proportional to 1,919.32, 2,878.70 and 532.75 is: 799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.32 : 2,878.70 = 532.75 : x
  2. Step 2: Convert to fraction form
    1,919.32/2,878.70 = 532.75/x
  3. Step 3: Cross multiply
    1,919.32x = 2,878.70 × 532.75
  4. Step 4: Simplify right side
    1,919.32x = 1,533,627.43
  5. Step 5: Solve for x
    x = 1,533,627.43/1,919.32
  6. Step 6: Final answer
    x = 799.05

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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.