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Finding the Fourth Proportional to 1,704.43, 2,354.48 and 1,316.35

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Solution

The fourth proportional to 1,704.43, 2,354.48 and 1,316.35 is: 1,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.43 : 2,354.48 = 1,316.35 : x
  2. Step 2: Convert to fraction form
    1,704.43/2,354.48 = 1,316.35/x
  3. Step 3: Cross multiply
    1,704.43x = 2,354.48 × 1,316.35
  4. Step 4: Simplify right side
    1,704.43x = 3,099,319.75
  5. Step 5: Solve for x
    x = 3,099,319.75/1,704.43
  6. Step 6: Final answer
    x = 1,818.39

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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.