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Finding the Fourth Proportional to 1,576.18, 2,364.54 and 952.08

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Solution

The fourth proportional to 1,576.18, 2,364.54 and 952.08 is: 1,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.18 : 2,364.54 = 952.08 : x
  2. Step 2: Convert to fraction form
    1,576.18/2,364.54 = 952.08/x
  3. Step 3: Cross multiply
    1,576.18x = 2,364.54 × 952.08
  4. Step 4: Simplify right side
    1,576.18x = 2,251,231.24
  5. Step 5: Solve for x
    x = 2,251,231.24/1,576.18
  6. Step 6: Final answer
    x = 1,428.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.