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Finding the Fourth Proportional to 1,723.52, 2,585.46 and 553.25

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Solution

The fourth proportional to 1,723.52, 2,585.46 and 553.25 is: 829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.52 : 2,585.46 = 553.25 : x
  2. Step 2: Convert to fraction form
    1,723.52/2,585.46 = 553.25/x
  3. Step 3: Cross multiply
    1,723.52x = 2,585.46 × 553.25
  4. Step 4: Simplify right side
    1,723.52x = 1,430,392.82
  5. Step 5: Solve for x
    x = 1,430,392.82/1,723.52
  6. Step 6: Final answer
    x = 829.93

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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.