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Finding the Fourth Proportional to 2,068.35, 3,102.52 and 529.35

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Solution

The fourth proportional to 2,068.35, 3,102.52 and 529.35 is: 794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.35 : 3,102.52 = 529.35 : x
  2. Step 2: Convert to fraction form
    2,068.35/3,102.52 = 529.35/x
  3. Step 3: Cross multiply
    2,068.35x = 3,102.52 × 529.35
  4. Step 4: Simplify right side
    2,068.35x = 1,642,318.96
  5. Step 5: Solve for x
    x = 1,642,318.96/2,068.35
  6. Step 6: Final answer
    x = 794.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.