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Finding the Fourth Proportional to 1,704.84, 2,555.19 and 1,499.82

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Solution

The fourth proportional to 1,704.84, 2,555.19 and 1,499.82 is: 2,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.84 : 2,555.19 = 1,499.82 : x
  2. Step 2: Convert to fraction form
    1,704.84/2,555.19 = 1,499.82/x
  3. Step 3: Cross multiply
    1,704.84x = 2,555.19 × 1,499.82
  4. Step 4: Simplify right side
    1,704.84x = 3,832,325.07
  5. Step 5: Solve for x
    x = 3,832,325.07/1,704.84
  6. Step 6: Final answer
    x = 2,247.91

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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.