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Finding the Fourth Proportional to 2,362.52, 3,260.28 and 1,300.29

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Solution

The fourth proportional to 2,362.52, 3,260.28 and 1,300.29 is: 1,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.52 : 3,260.28 = 1,300.29 : x
  2. Step 2: Convert to fraction form
    2,362.52/3,260.28 = 1,300.29/x
  3. Step 3: Cross multiply
    2,362.52x = 3,260.28 × 1,300.29
  4. Step 4: Simplify right side
    2,362.52x = 4,239,293.18
  5. Step 5: Solve for x
    x = 4,239,293.18/2,362.52
  6. Step 6: Final answer
    x = 1,794.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.