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Finding the Fourth Proportional to 2,900.48, 4,349.82 and 952.25

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Solution

The fourth proportional to 2,900.48, 4,349.82 and 952.25 is: 1,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.48 : 4,349.82 = 952.25 : x
  2. Step 2: Convert to fraction form
    2,900.48/4,349.82 = 952.25/x
  3. Step 3: Cross multiply
    2,900.48x = 4,349.82 × 952.25
  4. Step 4: Simplify right side
    2,900.48x = 4,142,116.10
  5. Step 5: Solve for x
    x = 4,142,116.10/2,900.48
  6. Step 6: Final answer
    x = 1,428.08

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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.