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Finding the Fourth Proportional to 3,108.42, 4,662.54 and 1,056.42

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Solution

The fourth proportional to 3,108.42, 4,662.54 and 1,056.42 is: 1,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.42 : 4,662.54 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    3,108.42/4,662.54 = 1,056.42/x
  3. Step 3: Cross multiply
    3,108.42x = 4,662.54 × 1,056.42
  4. Step 4: Simplify right side
    3,108.42x = 4,925,600.51
  5. Step 5: Solve for x
    x = 4,925,600.51/3,108.42
  6. Step 6: Final answer
    x = 1,584.60

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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.