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Finding the Fourth Proportional to 2,900.71, 4,349.64 and 952.25

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Solution

The fourth proportional to 2,900.71, 4,349.64 and 952.25 is: 1,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.71 : 4,349.64 = 952.25 : x
  2. Step 2: Convert to fraction form
    2,900.71/4,349.64 = 952.25/x
  3. Step 3: Cross multiply
    2,900.71x = 4,349.64 × 952.25
  4. Step 4: Simplify right side
    2,900.71x = 4,141,944.69
  5. Step 5: Solve for x
    x = 4,141,944.69/2,900.71
  6. Step 6: Final answer
    x = 1,427.91

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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.