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Finding the Fourth Proportional to 1,704.40, 2,543.78 and 1,499.60

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Solution

The fourth proportional to 1,704.40, 2,543.78 and 1,499.60 is: 2,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.40 : 2,543.78 = 1,499.60 : x
  2. Step 2: Convert to fraction form
    1,704.40/2,543.78 = 1,499.60/x
  3. Step 3: Cross multiply
    1,704.40x = 2,543.78 × 1,499.60
  4. Step 4: Simplify right side
    1,704.40x = 3,814,652.49
  5. Step 5: Solve for x
    x = 3,814,652.49/1,704.40
  6. Step 6: Final answer
    x = 2,238.12

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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.