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Finding the Fourth Proportional to 1,724.66, 2,587.66 and 993.84

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Solution

The fourth proportional to 1,724.66, 2,587.66 and 993.84 is: 1,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.66 : 2,587.66 = 993.84 : x
  2. Step 2: Convert to fraction form
    1,724.66/2,587.66 = 993.84/x
  3. Step 3: Cross multiply
    1,724.66x = 2,587.66 × 993.84
  4. Step 4: Simplify right side
    1,724.66x = 2,571,720.01
  5. Step 5: Solve for x
    x = 2,571,720.01/1,724.66
  6. Step 6: Final answer
    x = 1,491.15

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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.