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Finding the Fourth Proportional to 1,728.84, 2,385.82 and 942.91

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Solution

The fourth proportional to 1,728.84, 2,385.82 and 942.91 is: 1,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.84 : 2,385.82 = 942.91 : x
  2. Step 2: Convert to fraction form
    1,728.84/2,385.82 = 942.91/x
  3. Step 3: Cross multiply
    1,728.84x = 2,385.82 × 942.91
  4. Step 4: Simplify right side
    1,728.84x = 2,249,608.75
  5. Step 5: Solve for x
    x = 2,249,608.75/1,728.84
  6. Step 6: Final answer
    x = 1,301.22

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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.