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Finding the Fourth Proportional to 2,735.55, 4,102.94 and 886.47

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Solution

The fourth proportional to 2,735.55, 4,102.94 and 886.47 is: 1,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.55 : 4,102.94 = 886.47 : x
  2. Step 2: Convert to fraction form
    2,735.55/4,102.94 = 886.47/x
  3. Step 3: Cross multiply
    2,735.55x = 4,102.94 × 886.47
  4. Step 4: Simplify right side
    2,735.55x = 3,637,128.79
  5. Step 5: Solve for x
    x = 3,637,128.79/2,735.55
  6. Step 6: Final answer
    x = 1,329.58

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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.