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Finding the Fourth Proportional to 1,517.10, 2,259.71 and 1,446

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Solution

The fourth proportional to 1,517.10, 2,259.71 and 1,446 is: 2,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.10 : 2,259.71 = 1,446 : x
  2. Step 2: Convert to fraction form
    1,517.10/2,259.71 = 1,446/x
  3. Step 3: Cross multiply
    1,517.10x = 2,259.71 × 1,446
  4. Step 4: Simplify right side
    1,517.10x = 3,267,533.43
  5. Step 5: Solve for x
    x = 3,267,533.43/1,517.10
  6. Step 6: Final answer
    x = 2,153.80

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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.