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Finding the Fourth Proportional to 1,724.67, 2,587.28 and 993.87

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Solution

The fourth proportional to 1,724.67, 2,587.28 and 993.87 is: 1,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.67 : 2,587.28 = 993.87 : x
  2. Step 2: Convert to fraction form
    1,724.67/2,587.28 = 993.87/x
  3. Step 3: Cross multiply
    1,724.67x = 2,587.28 × 993.87
  4. Step 4: Simplify right side
    1,724.67x = 2,571,415.00
  5. Step 5: Solve for x
    x = 2,571,415.00/1,724.67
  6. Step 6: Final answer
    x = 1,490.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.