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Finding the Fourth Proportional to 1,728.89, 2,385.10 and 1,169.15

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Solution

The fourth proportional to 1,728.89, 2,385.10 and 1,169.15 is: 1,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.89 : 2,385.10 = 1,169.15 : x
  2. Step 2: Convert to fraction form
    1,728.89/2,385.10 = 1,169.15/x
  3. Step 3: Cross multiply
    1,728.89x = 2,385.10 × 1,169.15
  4. Step 4: Simplify right side
    1,728.89x = 2,788,539.67
  5. Step 5: Solve for x
    x = 2,788,539.67/1,728.89
  6. Step 6: Final answer
    x = 1,612.91

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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.