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Finding the Fourth Proportional to 1,754.73, 2,421.09 and 1,188.61

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Solution

The fourth proportional to 1,754.73, 2,421.09 and 1,188.61 is: 1,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.73 : 2,421.09 = 1,188.61 : x
  2. Step 2: Convert to fraction form
    1,754.73/2,421.09 = 1,188.61/x
  3. Step 3: Cross multiply
    1,754.73x = 2,421.09 × 1,188.61
  4. Step 4: Simplify right side
    1,754.73x = 2,877,731.78
  5. Step 5: Solve for x
    x = 2,877,731.78/1,754.73
  6. Step 6: Final answer
    x = 1,639.99

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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.