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Finding the Fourth Proportional to 1,224.15, 1,826.31 and 1,048.78

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Solution

The fourth proportional to 1,224.15, 1,826.31 and 1,048.78 is: 1,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.15 : 1,826.31 = 1,048.78 : x
  2. Step 2: Convert to fraction form
    1,224.15/1,826.31 = 1,048.78/x
  3. Step 3: Cross multiply
    1,224.15x = 1,826.31 × 1,048.78
  4. Step 4: Simplify right side
    1,224.15x = 1,915,397.40
  5. Step 5: Solve for x
    x = 1,915,397.40/1,224.15
  6. Step 6: Final answer
    x = 1,564.68

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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.