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Finding the Fourth Proportional to 1,730.07, 2,591.22 and 987.96

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Solution

The fourth proportional to 1,730.07, 2,591.22 and 987.96 is: 1,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.07 : 2,591.22 = 987.96 : x
  2. Step 2: Convert to fraction form
    1,730.07/2,591.22 = 987.96/x
  3. Step 3: Cross multiply
    1,730.07x = 2,591.22 × 987.96
  4. Step 4: Simplify right side
    1,730.07x = 2,560,021.71
  5. Step 5: Solve for x
    x = 2,560,021.71/1,730.07
  6. Step 6: Final answer
    x = 1,479.72

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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.