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Finding the Fourth Proportional to 2,322.63, 3,482.17 and 934.90

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Solution

The fourth proportional to 2,322.63, 3,482.17 and 934.90 is: 1,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.63 : 3,482.17 = 934.90 : x
  2. Step 2: Convert to fraction form
    2,322.63/3,482.17 = 934.90/x
  3. Step 3: Cross multiply
    2,322.63x = 3,482.17 × 934.90
  4. Step 4: Simplify right side
    2,322.63x = 3,255,480.73
  5. Step 5: Solve for x
    x = 3,255,480.73/2,322.63
  6. Step 6: Final answer
    x = 1,401.64

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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.