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Finding the Fourth Proportional to 1,486.53, 2,230.11 and 938.07

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Solution

The fourth proportional to 1,486.53, 2,230.11 and 938.07 is: 1,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.53 : 2,230.11 = 938.07 : x
  2. Step 2: Convert to fraction form
    1,486.53/2,230.11 = 938.07/x
  3. Step 3: Cross multiply
    1,486.53x = 2,230.11 × 938.07
  4. Step 4: Simplify right side
    1,486.53x = 2,091,999.29
  5. Step 5: Solve for x
    x = 2,091,999.29/1,486.53
  6. Step 6: Final answer
    x = 1,407.30

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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.