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Finding the Fourth Proportional to 2,009.25, 2,774.49 and 1,264.47

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Solution

The fourth proportional to 2,009.25, 2,774.49 and 1,264.47 is: 1,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.25 : 2,774.49 = 1,264.47 : x
  2. Step 2: Convert to fraction form
    2,009.25/2,774.49 = 1,264.47/x
  3. Step 3: Cross multiply
    2,009.25x = 2,774.49 × 1,264.47
  4. Step 4: Simplify right side
    2,009.25x = 3,508,259.37
  5. Step 5: Solve for x
    x = 3,508,259.37/2,009.25
  6. Step 6: Final answer
    x = 1,746.05

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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.