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Finding the Fourth Proportional to 2,477.88, 3,722.63 and 2,337.77

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Solution

The fourth proportional to 2,477.88, 3,722.63 and 2,337.77 is: 3,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.88 : 3,722.63 = 2,337.77 : x
  2. Step 2: Convert to fraction form
    2,477.88/3,722.63 = 2,337.77/x
  3. Step 3: Cross multiply
    2,477.88x = 3,722.63 × 2,337.77
  4. Step 4: Simplify right side
    2,477.88x = 8,702,650.35
  5. Step 5: Solve for x
    x = 8,702,650.35/2,477.88
  6. Step 6: Final answer
    x = 3,512.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.