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Finding the Fourth Proportional to 3,102.17, 4,653.54 and 910.89

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Solution

The fourth proportional to 3,102.17, 4,653.54 and 910.89 is: 1,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.17 : 4,653.54 = 910.89 : x
  2. Step 2: Convert to fraction form
    3,102.17/4,653.54 = 910.89/x
  3. Step 3: Cross multiply
    3,102.17x = 4,653.54 × 910.89
  4. Step 4: Simplify right side
    3,102.17x = 4,238,863.05
  5. Step 5: Solve for x
    x = 4,238,863.05/3,102.17
  6. Step 6: Final answer
    x = 1,366.42

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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.