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Finding the Fourth Proportional to 1,741.60, 2,402.58 and 1,042.84

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Solution

The fourth proportional to 1,741.60, 2,402.58 and 1,042.84 is: 1,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.60 : 2,402.58 = 1,042.84 : x
  2. Step 2: Convert to fraction form
    1,741.60/2,402.58 = 1,042.84/x
  3. Step 3: Cross multiply
    1,741.60x = 2,402.58 × 1,042.84
  4. Step 4: Simplify right side
    1,741.60x = 2,505,506.53
  5. Step 5: Solve for x
    x = 2,505,506.53/1,741.60
  6. Step 6: Final answer
    x = 1,438.62

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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.