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Finding the Fourth Proportional to 1,892.06, 2,836.08 and 916.82

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Solution

The fourth proportional to 1,892.06, 2,836.08 and 916.82 is: 1,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.06 : 2,836.08 = 916.82 : x
  2. Step 2: Convert to fraction form
    1,892.06/2,836.08 = 916.82/x
  3. Step 3: Cross multiply
    1,892.06x = 2,836.08 × 916.82
  4. Step 4: Simplify right side
    1,892.06x = 2,600,174.87
  5. Step 5: Solve for x
    x = 2,600,174.87/1,892.06
  6. Step 6: Final answer
    x = 1,374.26

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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.