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Finding the Fourth Proportional to 1,354.24, 1,867.89 and 1,146.34

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Solution

The fourth proportional to 1,354.24, 1,867.89 and 1,146.34 is: 1,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.24 : 1,867.89 = 1,146.34 : x
  2. Step 2: Convert to fraction form
    1,354.24/1,867.89 = 1,146.34/x
  3. Step 3: Cross multiply
    1,354.24x = 1,867.89 × 1,146.34
  4. Step 4: Simplify right side
    1,354.24x = 2,141,237.02
  5. Step 5: Solve for x
    x = 2,141,237.02/1,354.24
  6. Step 6: Final answer
    x = 1,581.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.