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Finding the Fourth Proportional to 1,728.32, 2,586.09 and 1,035.48

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Solution

The fourth proportional to 1,728.32, 2,586.09 and 1,035.48 is: 1,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.32 : 2,586.09 = 1,035.48 : x
  2. Step 2: Convert to fraction form
    1,728.32/2,586.09 = 1,035.48/x
  3. Step 3: Cross multiply
    1,728.32x = 2,586.09 × 1,035.48
  4. Step 4: Simplify right side
    1,728.32x = 2,677,844.47
  5. Step 5: Solve for x
    x = 2,677,844.47/1,728.32
  6. Step 6: Final answer
    x = 1,549.39

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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.