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Finding the Fourth Proportional to 2,256.18, 3,384.63 and 695.81

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Solution

The fourth proportional to 2,256.18, 3,384.63 and 695.81 is: 1,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.18 : 3,384.63 = 695.81 : x
  2. Step 2: Convert to fraction form
    2,256.18/3,384.63 = 695.81/x
  3. Step 3: Cross multiply
    2,256.18x = 3,384.63 × 695.81
  4. Step 4: Simplify right side
    2,256.18x = 2,355,042.48
  5. Step 5: Solve for x
    x = 2,355,042.48/2,256.18
  6. Step 6: Final answer
    x = 1,043.82

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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.