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Finding the Fourth Proportional to 2,411.45, 3,328.16 and 1,527.34

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Solution

The fourth proportional to 2,411.45, 3,328.16 and 1,527.34 is: 2,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.45 : 3,328.16 = 1,527.34 : x
  2. Step 2: Convert to fraction form
    2,411.45/3,328.16 = 1,527.34/x
  3. Step 3: Cross multiply
    2,411.45x = 3,328.16 × 1,527.34
  4. Step 4: Simplify right side
    2,411.45x = 5,083,227.39
  5. Step 5: Solve for x
    x = 5,083,227.39/2,411.45
  6. Step 6: Final answer
    x = 2,107.95

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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.