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Finding the Fourth Proportional to 2,477.78, 3,697.52 and 2,201.67

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Solution

The fourth proportional to 2,477.78, 3,697.52 and 2,201.67 is: 3,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.78 : 3,697.52 = 2,201.67 : x
  2. Step 2: Convert to fraction form
    2,477.78/3,697.52 = 2,201.67/x
  3. Step 3: Cross multiply
    2,477.78x = 3,697.52 × 2,201.67
  4. Step 4: Simplify right side
    2,477.78x = 8,140,728.10
  5. Step 5: Solve for x
    x = 8,140,728.10/2,477.78
  6. Step 6: Final answer
    x = 3,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.