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Finding the Fourth Proportional to 1,730.31, 2,383.07 and 1,594.23

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Solution

The fourth proportional to 1,730.31, 2,383.07 and 1,594.23 is: 2,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.31 : 2,383.07 = 1,594.23 : x
  2. Step 2: Convert to fraction form
    1,730.31/2,383.07 = 1,594.23/x
  3. Step 3: Cross multiply
    1,730.31x = 2,383.07 × 1,594.23
  4. Step 4: Simplify right side
    1,730.31x = 3,799,153.71
  5. Step 5: Solve for x
    x = 3,799,153.71/1,730.31
  6. Step 6: Final answer
    x = 2,195.65

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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.