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Finding the Fourth Proportional to 2,354.68, 3,530.22 and 1,428.76

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Solution

The fourth proportional to 2,354.68, 3,530.22 and 1,428.76 is: 2,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.68 : 3,530.22 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    2,354.68/3,530.22 = 1,428.76/x
  3. Step 3: Cross multiply
    2,354.68x = 3,530.22 × 1,428.76
  4. Step 4: Simplify right side
    2,354.68x = 5,043,837.13
  5. Step 5: Solve for x
    x = 5,043,837.13/2,354.68
  6. Step 6: Final answer
    x = 2,142.05

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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.