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Finding the Fourth Proportional to 3,265.74, 4,898.52 and 1,319.22

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Solution

The fourth proportional to 3,265.74, 4,898.52 and 1,319.22 is: 1,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.74 : 4,898.52 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    3,265.74/4,898.52 = 1,319.22/x
  3. Step 3: Cross multiply
    3,265.74x = 4,898.52 × 1,319.22
  4. Step 4: Simplify right side
    3,265.74x = 6,462,225.55
  5. Step 5: Solve for x
    x = 6,462,225.55/3,265.74
  6. Step 6: Final answer
    x = 1,978.79

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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.