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Finding the Fourth Proportional to 3,114.36, 4,671.78 and 1,383

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Solution

The fourth proportional to 3,114.36, 4,671.78 and 1,383 is: 2,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.36 : 4,671.78 = 1,383 : x
  2. Step 2: Convert to fraction form
    3,114.36/4,671.78 = 1,383/x
  3. Step 3: Cross multiply
    3,114.36x = 4,671.78 × 1,383
  4. Step 4: Simplify right side
    3,114.36x = 6,461,071.74
  5. Step 5: Solve for x
    x = 6,461,071.74/3,114.36
  6. Step 6: Final answer
    x = 2,074.61

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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.