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Finding the Fourth Proportional to 2,114.49, 2,918.17 and 1,230.47

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Solution

The fourth proportional to 2,114.49, 2,918.17 and 1,230.47 is: 1,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.49 : 2,918.17 = 1,230.47 : x
  2. Step 2: Convert to fraction form
    2,114.49/2,918.17 = 1,230.47/x
  3. Step 3: Cross multiply
    2,114.49x = 2,918.17 × 1,230.47
  4. Step 4: Simplify right side
    2,114.49x = 3,590,720.64
  5. Step 5: Solve for x
    x = 3,590,720.64/2,114.49
  6. Step 6: Final answer
    x = 1,698.15

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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.