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Finding the Fourth Proportional to 1,878.11, 2,592.78 and 1,170.17

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Solution

The fourth proportional to 1,878.11, 2,592.78 and 1,170.17 is: 1,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.11 : 2,592.78 = 1,170.17 : x
  2. Step 2: Convert to fraction form
    1,878.11/2,592.78 = 1,170.17/x
  3. Step 3: Cross multiply
    1,878.11x = 2,592.78 × 1,170.17
  4. Step 4: Simplify right side
    1,878.11x = 3,033,993.37
  5. Step 5: Solve for x
    x = 3,033,993.37/1,878.11
  6. Step 6: Final answer
    x = 1,615.45

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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.