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Finding the Fourth Proportional to 2,114.64, 2,918.30 and 1,230.26

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Solution

The fourth proportional to 2,114.64, 2,918.30 and 1,230.26 is: 1,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,918.30 = 1,230.26 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,918.30 = 1,230.26/x
  3. Step 3: Cross multiply
    2,114.64x = 2,918.30 × 1,230.26
  4. Step 4: Simplify right side
    2,114.64x = 3,590,247.02
  5. Step 5: Solve for x
    x = 3,590,247.02/2,114.64
  6. Step 6: Final answer
    x = 1,697.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.