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Finding the Fourth Proportional to 1,914.71, 2,872.08 and 528.07

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Solution

The fourth proportional to 1,914.71, 2,872.08 and 528.07 is: 792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.71 : 2,872.08 = 528.07 : x
  2. Step 2: Convert to fraction form
    1,914.71/2,872.08 = 528.07/x
  3. Step 3: Cross multiply
    1,914.71x = 2,872.08 × 528.07
  4. Step 4: Simplify right side
    1,914.71x = 1,516,659.29
  5. Step 5: Solve for x
    x = 1,516,659.29/1,914.71
  6. Step 6: Final answer
    x = 792.11

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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.