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Finding the Fourth Proportional to 2,953, 4,429.02 and 2,084.68

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Solution

The fourth proportional to 2,953, 4,429.02 and 2,084.68 is: 3,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953 : 4,429.02 = 2,084.68 : x
  2. Step 2: Convert to fraction form
    2,953/4,429.02 = 2,084.68/x
  3. Step 3: Cross multiply
    2,953x = 4,429.02 × 2,084.68
  4. Step 4: Simplify right side
    2,953x = 9,233,089.41
  5. Step 5: Solve for x
    x = 9,233,089.41/2,953
  6. Step 6: Final answer
    x = 3,126.68

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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.