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Finding the Fourth Proportional to 1,728.72, 2,592.12 and 701.52

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Solution

The fourth proportional to 1,728.72, 2,592.12 and 701.52 is: 1,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.72 : 2,592.12 = 701.52 : x
  2. Step 2: Convert to fraction form
    1,728.72/2,592.12 = 701.52/x
  3. Step 3: Cross multiply
    1,728.72x = 2,592.12 × 701.52
  4. Step 4: Simplify right side
    1,728.72x = 1,818,424.02
  5. Step 5: Solve for x
    x = 1,818,424.02/1,728.72
  6. Step 6: Final answer
    x = 1,051.89

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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.