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Finding the Fourth Proportional to 1,723.76, 2,585.87 and 553.48

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Solution

The fourth proportional to 1,723.76, 2,585.87 and 553.48 is: 830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.76 : 2,585.87 = 553.48 : x
  2. Step 2: Convert to fraction form
    1,723.76/2,585.87 = 553.48/x
  3. Step 3: Cross multiply
    1,723.76x = 2,585.87 × 553.48
  4. Step 4: Simplify right side
    1,723.76x = 1,431,237.83
  5. Step 5: Solve for x
    x = 1,431,237.83/1,723.76
  6. Step 6: Final answer
    x = 830.30

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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.