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Finding the Fourth Proportional to 2,892.48, 4,338.97 and 1,312.17

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Solution

The fourth proportional to 2,892.48, 4,338.97 and 1,312.17 is: 1,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.48 : 4,338.97 = 1,312.17 : x
  2. Step 2: Convert to fraction form
    2,892.48/4,338.97 = 1,312.17/x
  3. Step 3: Cross multiply
    2,892.48x = 4,338.97 × 1,312.17
  4. Step 4: Simplify right side
    2,892.48x = 5,693,483.32
  5. Step 5: Solve for x
    x = 5,693,483.32/2,892.48
  6. Step 6: Final answer
    x = 1,968.37

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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.