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Finding the Fourth Proportional to 2,892.30, 4,338.45 and 1,434.30

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Solution

The fourth proportional to 2,892.30, 4,338.45 and 1,434.30 is: 2,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.30 : 4,338.45 = 1,434.30 : x
  2. Step 2: Convert to fraction form
    2,892.30/4,338.45 = 1,434.30/x
  3. Step 3: Cross multiply
    2,892.30x = 4,338.45 × 1,434.30
  4. Step 4: Simplify right side
    2,892.30x = 6,222,638.84
  5. Step 5: Solve for x
    x = 6,222,638.84/2,892.30
  6. Step 6: Final answer
    x = 2,151.45

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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.