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Finding the Fourth Proportional to 1,727.40, 2,384.10 and 1,029.16

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Solution

The fourth proportional to 1,727.40, 2,384.10 and 1,029.16 is: 1,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.40 : 2,384.10 = 1,029.16 : x
  2. Step 2: Convert to fraction form
    1,727.40/2,384.10 = 1,029.16/x
  3. Step 3: Cross multiply
    1,727.40x = 2,384.10 × 1,029.16
  4. Step 4: Simplify right side
    1,727.40x = 2,453,620.36
  5. Step 5: Solve for x
    x = 2,453,620.36/1,727.40
  6. Step 6: Final answer
    x = 1,420.41

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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.