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Finding the Fourth Proportional to 1,842.09, 2,760.18 and 916.72

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Solution

The fourth proportional to 1,842.09, 2,760.18 and 916.72 is: 1,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.09 : 2,760.18 = 916.72 : x
  2. Step 2: Convert to fraction form
    1,842.09/2,760.18 = 916.72/x
  3. Step 3: Cross multiply
    1,842.09x = 2,760.18 × 916.72
  4. Step 4: Simplify right side
    1,842.09x = 2,530,301.87
  5. Step 5: Solve for x
    x = 2,530,301.87/1,842.09
  6. Step 6: Final answer
    x = 1,373.60

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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.