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Finding the Fourth Proportional to 2,823.66, 3,894.12 and 1,704.20

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Solution

The fourth proportional to 2,823.66, 3,894.12 and 1,704.20 is: 2,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.66 : 3,894.12 = 1,704.20 : x
  2. Step 2: Convert to fraction form
    2,823.66/3,894.12 = 1,704.20/x
  3. Step 3: Cross multiply
    2,823.66x = 3,894.12 × 1,704.20
  4. Step 4: Simplify right side
    2,823.66x = 6,636,339.83
  5. Step 5: Solve for x
    x = 6,636,339.83/2,823.66
  6. Step 6: Final answer
    x = 2,350.26

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1.5x scale

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.