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Finding the Fourth Proportional to 1,151.84, 1,737.42 and 1,084.47

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Solution

The fourth proportional to 1,151.84, 1,737.42 and 1,084.47 is: 1,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.84 : 1,737.42 = 1,084.47 : x
  2. Step 2: Convert to fraction form
    1,151.84/1,737.42 = 1,084.47/x
  3. Step 3: Cross multiply
    1,151.84x = 1,737.42 × 1,084.47
  4. Step 4: Simplify right side
    1,151.84x = 1,884,179.87
  5. Step 5: Solve for x
    x = 1,884,179.87/1,151.84
  6. Step 6: Final answer
    x = 1,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.