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Finding the Fourth Proportional to 1,443.60, 1,992 and 854.16

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Solution

The fourth proportional to 1,443.60, 1,992 and 854.16 is: 1,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.60 : 1,992 = 854.16 : x
  2. Step 2: Convert to fraction form
    1,443.60/1,992 = 854.16/x
  3. Step 3: Cross multiply
    1,443.60x = 1,992 × 854.16
  4. Step 4: Simplify right side
    1,443.60x = 1,701,486.72
  5. Step 5: Solve for x
    x = 1,701,486.72/1,443.60
  6. Step 6: Final answer
    x = 1,178.64

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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.