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Finding the Fourth Proportional to 1,364.12, 1,878.74 and 1,177.54

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Solution

The fourth proportional to 1,364.12, 1,878.74 and 1,177.54 is: 1,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.12 : 1,878.74 = 1,177.54 : x
  2. Step 2: Convert to fraction form
    1,364.12/1,878.74 = 1,177.54/x
  3. Step 3: Cross multiply
    1,364.12x = 1,878.74 × 1,177.54
  4. Step 4: Simplify right side
    1,364.12x = 2,212,291.95
  5. Step 5: Solve for x
    x = 2,212,291.95/1,364.12
  6. Step 6: Final answer
    x = 1,621.78

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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.