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Finding the Fourth Proportional to 1,618.12, 2,412.01 and 1,514.24

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Solution

The fourth proportional to 1,618.12, 2,412.01 and 1,514.24 is: 2,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.12 : 2,412.01 = 1,514.24 : x
  2. Step 2: Convert to fraction form
    1,618.12/2,412.01 = 1,514.24/x
  3. Step 3: Cross multiply
    1,618.12x = 2,412.01 × 1,514.24
  4. Step 4: Simplify right side
    1,618.12x = 3,652,362.02
  5. Step 5: Solve for x
    x = 3,652,362.02/1,618.12
  6. Step 6: Final answer
    x = 2,257.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.