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Finding the Fourth Proportional to 1,912.16, 2,638.80 and 1,084

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Solution

The fourth proportional to 1,912.16, 2,638.80 and 1,084 is: 1,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.16 : 2,638.80 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,912.16/2,638.80 = 1,084/x
  3. Step 3: Cross multiply
    1,912.16x = 2,638.80 × 1,084
  4. Step 4: Simplify right side
    1,912.16x = 2,860,459.20
  5. Step 5: Solve for x
    x = 2,860,459.20/1,912.16
  6. Step 6: Final answer
    x = 1,495.93

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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.