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Finding the Fourth Proportional to 1,411.84, 2,117.73 and 546.13

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Solution

The fourth proportional to 1,411.84, 2,117.73 and 546.13 is: 819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.84 : 2,117.73 = 546.13 : x
  2. Step 2: Convert to fraction form
    1,411.84/2,117.73 = 546.13/x
  3. Step 3: Cross multiply
    1,411.84x = 2,117.73 × 546.13
  4. Step 4: Simplify right side
    1,411.84x = 1,156,555.88
  5. Step 5: Solve for x
    x = 1,156,555.88/1,411.84
  6. Step 6: Final answer
    x = 819.18

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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.