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Finding the Fourth Proportional to 1,727.21, 2,588.49 and 630.51

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Solution

The fourth proportional to 1,727.21, 2,588.49 and 630.51 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.21 : 2,588.49 = 630.51 : x
  2. Step 2: Convert to fraction form
    1,727.21/2,588.49 = 630.51/x
  3. Step 3: Cross multiply
    1,727.21x = 2,588.49 × 630.51
  4. Step 4: Simplify right side
    1,727.21x = 1,632,068.83
  5. Step 5: Solve for x
    x = 1,632,068.83/1,727.21
  6. Step 6: Final answer
    x = 944.92

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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.