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Finding the Fourth Proportional to 1,549.86, 2,310.96 and 1,485.06

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Solution

The fourth proportional to 1,549.86, 2,310.96 and 1,485.06 is: 2,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.86 : 2,310.96 = 1,485.06 : x
  2. Step 2: Convert to fraction form
    1,549.86/2,310.96 = 1,485.06/x
  3. Step 3: Cross multiply
    1,549.86x = 2,310.96 × 1,485.06
  4. Step 4: Simplify right side
    1,549.86x = 3,431,914.26
  5. Step 5: Solve for x
    x = 3,431,914.26/1,549.86
  6. Step 6: Final answer
    x = 2,214.34

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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.