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Finding the Fourth Proportional to 3,260.40, 4,889.16 and 952.08

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Solution

The fourth proportional to 3,260.40, 4,889.16 and 952.08 is: 1,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.40 : 4,889.16 = 952.08 : x
  2. Step 2: Convert to fraction form
    3,260.40/4,889.16 = 952.08/x
  3. Step 3: Cross multiply
    3,260.40x = 4,889.16 × 952.08
  4. Step 4: Simplify right side
    3,260.40x = 4,654,871.45
  5. Step 5: Solve for x
    x = 4,654,871.45/3,260.40
  6. Step 6: Final answer
    x = 1,427.70

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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.