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Finding the Fourth Proportional to 2,011.30, 3,017.39 and 624.67

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Solution

The fourth proportional to 2,011.30, 3,017.39 and 624.67 is: 937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.30 : 3,017.39 = 624.67 : x
  2. Step 2: Convert to fraction form
    2,011.30/3,017.39 = 624.67/x
  3. Step 3: Cross multiply
    2,011.30x = 3,017.39 × 624.67
  4. Step 4: Simplify right side
    2,011.30x = 1,884,862.34
  5. Step 5: Solve for x
    x = 1,884,862.34/2,011.30
  6. Step 6: Final answer
    x = 937.14

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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.