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Finding the Fourth Proportional to 2,472.83, 3,706.06 and 1,851.67

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Solution

The fourth proportional to 2,472.83, 3,706.06 and 1,851.67 is: 2,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.83 : 3,706.06 = 1,851.67 : x
  2. Step 2: Convert to fraction form
    2,472.83/3,706.06 = 1,851.67/x
  3. Step 3: Cross multiply
    2,472.83x = 3,706.06 × 1,851.67
  4. Step 4: Simplify right side
    2,472.83x = 6,862,400.12
  5. Step 5: Solve for x
    x = 6,862,400.12/2,472.83
  6. Step 6: Final answer
    x = 2,775.12

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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.