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Finding the Fourth Proportional to 2,363, 3,260.94 and 1,315.31

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Solution

The fourth proportional to 2,363, 3,260.94 and 1,315.31 is: 1,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363 : 3,260.94 = 1,315.31 : x
  2. Step 2: Convert to fraction form
    2,363/3,260.94 = 1,315.31/x
  3. Step 3: Cross multiply
    2,363x = 3,260.94 × 1,315.31
  4. Step 4: Simplify right side
    2,363x = 4,289,146.99
  5. Step 5: Solve for x
    x = 4,289,146.99/2,363
  6. Step 6: Final answer
    x = 1,815.13

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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.