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Finding the Fourth Proportional to 1,354.93, 2,023.79 and 1,224.72

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Solution

The fourth proportional to 1,354.93, 2,023.79 and 1,224.72 is: 1,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.93 : 2,023.79 = 1,224.72 : x
  2. Step 2: Convert to fraction form
    1,354.93/2,023.79 = 1,224.72/x
  3. Step 3: Cross multiply
    1,354.93x = 2,023.79 × 1,224.72
  4. Step 4: Simplify right side
    1,354.93x = 2,478,569.97
  5. Step 5: Solve for x
    x = 2,478,569.97/1,354.93
  6. Step 6: Final answer
    x = 1,829.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.