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Finding the Fourth Proportional to 1,728.60, 2,385.36 and 1,029.84

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Solution

The fourth proportional to 1,728.60, 2,385.36 and 1,029.84 is: 1,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.60 : 2,385.36 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    1,728.60/2,385.36 = 1,029.84/x
  3. Step 3: Cross multiply
    1,728.60x = 2,385.36 × 1,029.84
  4. Step 4: Simplify right side
    1,728.60x = 2,456,539.14
  5. Step 5: Solve for x
    x = 2,456,539.14/1,728.60
  6. Step 6: Final answer
    x = 1,421.11

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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.