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Finding the Fourth Proportional to 3,125.36, 4,688.01 and 816.86

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Solution

The fourth proportional to 3,125.36, 4,688.01 and 816.86 is: 1,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.36 : 4,688.01 = 816.86 : x
  2. Step 2: Convert to fraction form
    3,125.36/4,688.01 = 816.86/x
  3. Step 3: Cross multiply
    3,125.36x = 4,688.01 × 816.86
  4. Step 4: Simplify right side
    3,125.36x = 3,829,447.85
  5. Step 5: Solve for x
    x = 3,829,447.85/3,125.36
  6. Step 6: Final answer
    x = 1,225.28

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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.