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Finding the Fourth Proportional to 2,468.46, 3,406.95 and 1,585.38

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Solution

The fourth proportional to 2,468.46, 3,406.95 and 1,585.38 is: 2,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.46 : 3,406.95 = 1,585.38 : x
  2. Step 2: Convert to fraction form
    2,468.46/3,406.95 = 1,585.38/x
  3. Step 3: Cross multiply
    2,468.46x = 3,406.95 × 1,585.38
  4. Step 4: Simplify right side
    2,468.46x = 5,401,310.39
  5. Step 5: Solve for x
    x = 5,401,310.39/2,468.46
  6. Step 6: Final answer
    x = 2,188.13

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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.