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Finding the Fourth Proportional to 1,240.10, 1,857.69 and 932.30

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Solution

The fourth proportional to 1,240.10, 1,857.69 and 932.30 is: 1,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.10 : 1,857.69 = 932.30 : x
  2. Step 2: Convert to fraction form
    1,240.10/1,857.69 = 932.30/x
  3. Step 3: Cross multiply
    1,240.10x = 1,857.69 × 932.30
  4. Step 4: Simplify right side
    1,240.10x = 1,731,924.39
  5. Step 5: Solve for x
    x = 1,731,924.39/1,240.10
  6. Step 6: Final answer
    x = 1,396.60

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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.