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Finding the Fourth Proportional to 1,731.89, 2,595.04 and 1,038.24

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Solution

The fourth proportional to 1,731.89, 2,595.04 and 1,038.24 is: 1,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.89 : 2,595.04 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    1,731.89/2,595.04 = 1,038.24/x
  3. Step 3: Cross multiply
    1,731.89x = 2,595.04 × 1,038.24
  4. Step 4: Simplify right side
    1,731.89x = 2,694,274.33
  5. Step 5: Solve for x
    x = 2,694,274.33/1,731.89
  6. Step 6: Final answer
    x = 1,555.68

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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.