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Finding the Fourth Proportional to 2,411.46, 3,616.80 and 852.63

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Solution

The fourth proportional to 2,411.46, 3,616.80 and 852.63 is: 1,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.46 : 3,616.80 = 852.63 : x
  2. Step 2: Convert to fraction form
    2,411.46/3,616.80 = 852.63/x
  3. Step 3: Cross multiply
    2,411.46x = 3,616.80 × 852.63
  4. Step 4: Simplify right side
    2,411.46x = 3,083,792.18
  5. Step 5: Solve for x
    x = 3,083,792.18/2,411.46
  6. Step 6: Final answer
    x = 1,278.81

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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.