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Finding the Fourth Proportional to 2,050.07, 3,072.72 and 952.10

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Solution

The fourth proportional to 2,050.07, 3,072.72 and 952.10 is: 1,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.07 : 3,072.72 = 952.10 : x
  2. Step 2: Convert to fraction form
    2,050.07/3,072.72 = 952.10/x
  3. Step 3: Cross multiply
    2,050.07x = 3,072.72 × 952.10
  4. Step 4: Simplify right side
    2,050.07x = 2,925,536.71
  5. Step 5: Solve for x
    x = 2,925,536.71/2,050.07
  6. Step 6: Final answer
    x = 1,427.04

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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.