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Finding the Fourth Proportional to 2,746.25, 4,119.39 and 694.25

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Solution

The fourth proportional to 2,746.25, 4,119.39 and 694.25 is: 1,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.25 : 4,119.39 = 694.25 : x
  2. Step 2: Convert to fraction form
    2,746.25/4,119.39 = 694.25/x
  3. Step 3: Cross multiply
    2,746.25x = 4,119.39 × 694.25
  4. Step 4: Simplify right side
    2,746.25x = 2,859,886.51
  5. Step 5: Solve for x
    x = 2,859,886.51/2,746.25
  6. Step 6: Final answer
    x = 1,041.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.