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Finding the Fourth Proportional to 2,703.53, 4,055.52 and 854.75

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Solution

The fourth proportional to 2,703.53, 4,055.52 and 854.75 is: 1,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.53 : 4,055.52 = 854.75 : x
  2. Step 2: Convert to fraction form
    2,703.53/4,055.52 = 854.75/x
  3. Step 3: Cross multiply
    2,703.53x = 4,055.52 × 854.75
  4. Step 4: Simplify right side
    2,703.53x = 3,466,455.72
  5. Step 5: Solve for x
    x = 3,466,455.72/2,703.53
  6. Step 6: Final answer
    x = 1,282.20

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Why These Related Problems?

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