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Finding the Fourth Proportional to 1,857.30, 2,785.92 and 558.78

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Solution

The fourth proportional to 1,857.30, 2,785.92 and 558.78 is: 838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.30 : 2,785.92 = 558.78 : x
  2. Step 2: Convert to fraction form
    1,857.30/2,785.92 = 558.78/x
  3. Step 3: Cross multiply
    1,857.30x = 2,785.92 × 558.78
  4. Step 4: Simplify right side
    1,857.30x = 1,556,716.38
  5. Step 5: Solve for x
    x = 1,556,716.38/1,857.30
  6. Step 6: Final answer
    x = 838.16

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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.