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Finding the Fourth Proportional to 2,698.79, 3,725.25 and 1,677.54

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Solution

The fourth proportional to 2,698.79, 3,725.25 and 1,677.54 is: 2,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.79 : 3,725.25 = 1,677.54 : x
  2. Step 2: Convert to fraction form
    2,698.79/3,725.25 = 1,677.54/x
  3. Step 3: Cross multiply
    2,698.79x = 3,725.25 × 1,677.54
  4. Step 4: Simplify right side
    2,698.79x = 6,249,255.89
  5. Step 5: Solve for x
    x = 6,249,255.89/2,698.79
  6. Step 6: Final answer
    x = 2,315.58

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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.