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Finding the Fourth Proportional to 2,313.76, 3,192.99 and 1,265.83

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Solution

The fourth proportional to 2,313.76, 3,192.99 and 1,265.83 is: 1,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.76 : 3,192.99 = 1,265.83 : x
  2. Step 2: Convert to fraction form
    2,313.76/3,192.99 = 1,265.83/x
  3. Step 3: Cross multiply
    2,313.76x = 3,192.99 × 1,265.83
  4. Step 4: Simplify right side
    2,313.76x = 4,041,760.24
  5. Step 5: Solve for x
    x = 4,041,760.24/2,313.76
  6. Step 6: Final answer
    x = 1,746.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.