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Finding the Fourth Proportional to 3,281.67, 4,922.51 and 1,894.12

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Solution

The fourth proportional to 3,281.67, 4,922.51 and 1,894.12 is: 2,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.67 : 4,922.51 = 1,894.12 : x
  2. Step 2: Convert to fraction form
    3,281.67/4,922.51 = 1,894.12/x
  3. Step 3: Cross multiply
    3,281.67x = 4,922.51 × 1,894.12
  4. Step 4: Simplify right side
    3,281.67x = 9,323,802.86
  5. Step 5: Solve for x
    x = 9,323,802.86/3,281.67
  6. Step 6: Final answer
    x = 2,841.18

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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.