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Finding the Fourth Proportional to 3,017.71, 4,526.58 and 937.67

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Solution

The fourth proportional to 3,017.71, 4,526.58 and 937.67 is: 1,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.71 : 4,526.58 = 937.67 : x
  2. Step 2: Convert to fraction form
    3,017.71/4,526.58 = 937.67/x
  3. Step 3: Cross multiply
    3,017.71x = 4,526.58 × 937.67
  4. Step 4: Simplify right side
    3,017.71x = 4,244,438.27
  5. Step 5: Solve for x
    x = 4,244,438.27/3,017.71
  6. Step 6: Final answer
    x = 1,406.51

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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.