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Finding the Fourth Proportional to 2,363.76, 3,262.08 and 1,315.92

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Solution

The fourth proportional to 2,363.76, 3,262.08 and 1,315.92 is: 1,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.76 : 3,262.08 = 1,315.92 : x
  2. Step 2: Convert to fraction form
    2,363.76/3,262.08 = 1,315.92/x
  3. Step 3: Cross multiply
    2,363.76x = 3,262.08 × 1,315.92
  4. Step 4: Simplify right side
    2,363.76x = 4,292,636.31
  5. Step 5: Solve for x
    x = 4,292,636.31/2,363.76
  6. Step 6: Final answer
    x = 1,816.02

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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.