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Finding the Fourth Proportional to 1,704.59, 2,352.74 and 1,042.00

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Solution

The fourth proportional to 1,704.59, 2,352.74 and 1,042.00 is: 1,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.59 : 2,352.74 = 1,042.00 : x
  2. Step 2: Convert to fraction form
    1,704.59/2,352.74 = 1,042.00/x
  3. Step 3: Cross multiply
    1,704.59x = 2,352.74 × 1,042.00
  4. Step 4: Simplify right side
    1,704.59x = 2,451,543.99
  5. Step 5: Solve for x
    x = 2,451,543.99/1,704.59
  6. Step 6: Final answer
    x = 1,438.20

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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.