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Finding the Fourth Proportional to 1,518.84, 2,278.26 and 1,172.68

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Solution

The fourth proportional to 1,518.84, 2,278.26 and 1,172.68 is: 1,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.84 : 2,278.26 = 1,172.68 : x
  2. Step 2: Convert to fraction form
    1,518.84/2,278.26 = 1,172.68/x
  3. Step 3: Cross multiply
    1,518.84x = 2,278.26 × 1,172.68
  4. Step 4: Simplify right side
    1,518.84x = 2,671,652.68
  5. Step 5: Solve for x
    x = 2,671,652.68/1,518.84
  6. Step 6: Final answer
    x = 1,759.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.