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Finding the Fourth Proportional to 2,322.11, 3,482.29 and 934.97

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Solution

The fourth proportional to 2,322.11, 3,482.29 and 934.97 is: 1,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.11 : 3,482.29 = 934.97 : x
  2. Step 2: Convert to fraction form
    2,322.11/3,482.29 = 934.97/x
  3. Step 3: Cross multiply
    2,322.11x = 3,482.29 × 934.97
  4. Step 4: Simplify right side
    2,322.11x = 3,255,832.01
  5. Step 5: Solve for x
    x = 3,255,832.01/2,322.11
  6. Step 6: Final answer
    x = 1,402.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.