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Finding the Fourth Proportional to 1,486.02, 2,229.01 and 512.10

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Solution

The fourth proportional to 1,486.02, 2,229.01 and 512.10 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.02 : 2,229.01 = 512.10 : x
  2. Step 2: Convert to fraction form
    1,486.02/2,229.01 = 512.10/x
  3. Step 3: Cross multiply
    1,486.02x = 2,229.01 × 512.10
  4. Step 4: Simplify right side
    1,486.02x = 1,141,476.02
  5. Step 5: Solve for x
    x = 1,141,476.02/1,486.02
  6. Step 6: Final answer
    x = 768.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.