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Finding the Fourth Proportional to 2,009.25, 2,772.54 and 1,124.93

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Solution

The fourth proportional to 2,009.25, 2,772.54 and 1,124.93 is: 1,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.25 : 2,772.54 = 1,124.93 : x
  2. Step 2: Convert to fraction form
    2,009.25/2,772.54 = 1,124.93/x
  3. Step 3: Cross multiply
    2,009.25x = 2,772.54 × 1,124.93
  4. Step 4: Simplify right side
    2,009.25x = 3,118,899.56
  5. Step 5: Solve for x
    x = 3,118,899.56/2,009.25
  6. Step 6: Final answer
    x = 1,552.27

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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.