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Finding the Fourth Proportional to 1,723.88, 2,585.82 and 425.36

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Solution

The fourth proportional to 1,723.88, 2,585.82 and 425.36 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.88 : 2,585.82 = 425.36 : x
  2. Step 2: Convert to fraction form
    1,723.88/2,585.82 = 425.36/x
  3. Step 3: Cross multiply
    1,723.88x = 2,585.82 × 425.36
  4. Step 4: Simplify right side
    1,723.88x = 1,099,904.40
  5. Step 5: Solve for x
    x = 1,099,904.40/1,723.88
  6. Step 6: Final answer
    x = 638.04

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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.