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Finding the Fourth Proportional to 1,285.84, 1,927.60 and 1,092.08

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Solution

The fourth proportional to 1,285.84, 1,927.60 and 1,092.08 is: 1,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.84 : 1,927.60 = 1,092.08 : x
  2. Step 2: Convert to fraction form
    1,285.84/1,927.60 = 1,092.08/x
  3. Step 3: Cross multiply
    1,285.84x = 1,927.60 × 1,092.08
  4. Step 4: Simplify right side
    1,285.84x = 2,105,093.41
  5. Step 5: Solve for x
    x = 2,105,093.41/1,285.84
  6. Step 6: Final answer
    x = 1,637.13

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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.