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Finding the Fourth Proportional to 3,246, 4,479.48 and 1,774

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Solution

The fourth proportional to 3,246, 4,479.48 and 1,774 is: 2,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246 : 4,479.48 = 1,774 : x
  2. Step 2: Convert to fraction form
    3,246/4,479.48 = 1,774/x
  3. Step 3: Cross multiply
    3,246x = 4,479.48 × 1,774
  4. Step 4: Simplify right side
    3,246x = 7,946,597.52
  5. Step 5: Solve for x
    x = 7,946,597.52/3,246
  6. Step 6: Final answer
    x = 2,448.12

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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.