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Finding the Fourth Proportional to 2,011.60, 3,017.26 and 624.84

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Solution

The fourth proportional to 2,011.60, 3,017.26 and 624.84 is: 937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.60 : 3,017.26 = 624.84 : x
  2. Step 2: Convert to fraction form
    2,011.60/3,017.26 = 624.84/x
  3. Step 3: Cross multiply
    2,011.60x = 3,017.26 × 624.84
  4. Step 4: Simplify right side
    2,011.60x = 1,885,304.74
  5. Step 5: Solve for x
    x = 1,885,304.74/2,011.60
  6. Step 6: Final answer
    x = 937.22

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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.