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Finding the Fourth Proportional to 1,704.16, 2,350.92 and 1,482.76

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Solution

The fourth proportional to 1,704.16, 2,350.92 and 1,482.76 is: 2,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.16 : 2,350.92 = 1,482.76 : x
  2. Step 2: Convert to fraction form
    1,704.16/2,350.92 = 1,482.76/x
  3. Step 3: Cross multiply
    1,704.16x = 2,350.92 × 1,482.76
  4. Step 4: Simplify right side
    1,704.16x = 3,485,850.14
  5. Step 5: Solve for x
    x = 3,485,850.14/1,704.16
  6. Step 6: Final answer
    x = 2,045.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.