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Finding the Fourth Proportional to 1,730.06, 2,387.41 and 944.09

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Solution

The fourth proportional to 1,730.06, 2,387.41 and 944.09 is: 1,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.06 : 2,387.41 = 944.09 : x
  2. Step 2: Convert to fraction form
    1,730.06/2,387.41 = 944.09/x
  3. Step 3: Cross multiply
    1,730.06x = 2,387.41 × 944.09
  4. Step 4: Simplify right side
    1,730.06x = 2,253,929.91
  5. Step 5: Solve for x
    x = 2,253,929.91/1,730.06
  6. Step 6: Final answer
    x = 1,302.80

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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.