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Finding the Fourth Proportional to 3,260.52, 4,892.13 and 1,313.01

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Solution

The fourth proportional to 3,260.52, 4,892.13 and 1,313.01 is: 1,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.52 : 4,892.13 = 1,313.01 : x
  2. Step 2: Convert to fraction form
    3,260.52/4,892.13 = 1,313.01/x
  3. Step 3: Cross multiply
    3,260.52x = 4,892.13 × 1,313.01
  4. Step 4: Simplify right side
    3,260.52x = 6,423,415.61
  5. Step 5: Solve for x
    x = 6,423,415.61/3,260.52
  6. Step 6: Final answer
    x = 1,970.06

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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.