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Finding the Fourth Proportional to 1,704.32, 2,544.02 and 1,579.12

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Solution

The fourth proportional to 1,704.32, 2,544.02 and 1,579.12 is: 2,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.32 : 2,544.02 = 1,579.12 : x
  2. Step 2: Convert to fraction form
    1,704.32/2,544.02 = 1,579.12/x
  3. Step 3: Cross multiply
    1,704.32x = 2,544.02 × 1,579.12
  4. Step 4: Simplify right side
    1,704.32x = 4,017,312.86
  5. Step 5: Solve for x
    x = 4,017,312.86/1,704.32
  6. Step 6: Final answer
    x = 2,357.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.