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Finding the Fourth Proportional to 1,576.68, 2,365.29 and 952.58

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Solution

The fourth proportional to 1,576.68, 2,365.29 and 952.58 is: 1,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.68 : 2,365.29 = 952.58 : x
  2. Step 2: Convert to fraction form
    1,576.68/2,365.29 = 952.58/x
  3. Step 3: Cross multiply
    1,576.68x = 2,365.29 × 952.58
  4. Step 4: Simplify right side
    1,576.68x = 2,253,116.12
  5. Step 5: Solve for x
    x = 2,253,116.12/1,576.68
  6. Step 6: Final answer
    x = 1,429.03

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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.