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Finding the Fourth Proportional to 3,101.94, 4,650.48 and 1,457.64

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Solution

The fourth proportional to 3,101.94, 4,650.48 and 1,457.64 is: 2,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.94 : 4,650.48 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    3,101.94/4,650.48 = 1,457.64/x
  3. Step 3: Cross multiply
    3,101.94x = 4,650.48 × 1,457.64
  4. Step 4: Simplify right side
    3,101.94x = 6,778,725.67
  5. Step 5: Solve for x
    x = 6,778,725.67/3,101.94
  6. Step 6: Final answer
    x = 2,185.32

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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.