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Finding the Fourth Proportional to 2,741.60, 4,110.59 and 985.72

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Solution

The fourth proportional to 2,741.60, 4,110.59 and 985.72 is: 1,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.60 : 4,110.59 = 985.72 : x
  2. Step 2: Convert to fraction form
    2,741.60/4,110.59 = 985.72/x
  3. Step 3: Cross multiply
    2,741.60x = 4,110.59 × 985.72
  4. Step 4: Simplify right side
    2,741.60x = 4,051,885.85
  5. Step 5: Solve for x
    x = 4,051,885.85/2,741.60
  6. Step 6: Final answer
    x = 1,477.93

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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.